Assuming I've understood you correctly, this should be what you want.
--Once again, I'll build your test data first
DECLARE @TABLE AS TABLE(
[RequestID] INT,
[RequestItemID] INT,
[CostLocal] FLOAT,
[Qty] INT,
[Total_doller] FLOAT)
INSERT INTO @TABLE([RequestID],[RequestItemID],[CostLocal],[Qty],[Total_doller])
SELECT 331, 1036, 123.0000, 2, 5.05776
UNION ALL SELECT 331, 1037, 100.0000, 3, 6.168
--Now to the query
SELECT [RequestID],
SUM([Total_doller]) AS [Total]
FROM @TABLE
GROUP BY [RequestID]
/*
RequestID Total
----------- ----------------------
331 11.22576
*/