In the case of a city with a population of more than 200,000 receiving per capita aid for law enforcement in accordance with § 9.1-169 of less than sixty-five percent of the average per capita aid to law enforcement received by all other cities with a population of more than 200,000 under such provisions, exclusive of amounts payable by reason of this section, the discretionary fund established by § 9.1-169 shall first be used to pay such city an aggregate sum so as to make its per capita receipts for law enforcement under § 9.1-169 equal to sixty-five percent of the average per capita aid for law enforcement disbursed to all other cities with a population of more than 200,000. The remainder, if any, shall be distributed per capita among (i) cities with populations under 200,000, (ii) eligible counties, and (iii) towns having police departments.