Hallway is the opposite of Room. you are likely to find Room in/at/on Apartment. 
Value is related to Buy. Rich can Buy. Rich wants (to) Sex. Sex is a synonym of Sexuality. 
Hallway <--Antonym--> Room --AtLocation--> Apartment 
Value <--RelatedTo--> Buy <--CapableOf-- Rich --Desires--> Sex <--Synonym--> Sexuality 