Free is the opposite of Tax. Tax is the opposite of Subsidy. Subsidy is a synonym of Scholarship. 
Balance is related to Beam. Beam is related to Wooden. Wooden is related to Stick. 
Free <--Antonym--> Tax <--Antonym--> Subsidy <--Synonym--> Scholarship 
Balance <--RelatedTo--> Beam <--RelatedTo--> Wooden <--RelatedTo--> Stick 