apportion

[uh-pawr-shuhn, uh-pohr-]
verb (used with object)
to distribute or allocate proportionally; divide and assign according to some rule of proportional distribution: to apportion expenses among the three men.

Origin:
1565–75; < Middle French apportionner, equivalent to ap- ap-1 + portionner to portion

apportionable, adjective
apportioner, noun
nonapportionable, adjective
unapportioned, adjective
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World English Dictionary
apportion (əˈpɔːʃən)
 
vb
(tr) to divide, distribute, or assign appropriate shares of; allot proportionally: to apportion the blame
 
ap'portionable
 
adj
 
ap'portioner
 
n

Collins English Dictionary - Complete & Unabridged 10th Edition
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Etymonline
Word Origin & History

apportion
1570s, from M.Fr. apportionner, from O.Fr. aporcioner, from a- "to" + portioner "to divide into portions," from portion "share, portion" (see portion). Apportionment is attested from 1620s.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Blame itself can be statistically apportioned in a quasi-scientific manner.
Yet tragic as the notion of a world apportioned in this fashion may be, it is not without mental coziness.
These plates are issued for interstate fleet vehicles to display apportioned stickers.
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