Apportioned

ap·por·tion   (ə-pôr'shən, -pōr'-)    tr.v.   ap·por·tioned, ap·por·tion·ing, ap·por·tions To divide and assign according to a plan; allot: "The tendency persists to apportion blame as suits the circumstances" (Natalie Angier). [French apportioner, from Old French : a-, to (from Latin ad-, ad-) + portionner, to divide into portions (from portion, portion; see portion).]

apportion 

Main Entry: ap·por·tion
Pronunciation: &-'por-sh&n
Function: transitive verb
: to make a usually proportionate division or distribution of (an amount due) according to a plan: as a : to divide (an amount due in tax or other liability) among the parties responsible for respective shares of the payment —compare CONTRIBUTION b : to assign (a portion of the consideration agreed to in a contract) as payment for the other party's partial performance c : to distribute (corporate dividends) based on some proportion d : to assign (legislative representatives and taxes) among the states as provided by law —ap·por·tion·able adjective —ap·por·tion·ment noun