Finding the Fourth Proportional to 205,345,692.55, 283,390,959.04 and 116,006,651.14
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Solution
The fourth proportional to 205,345,692.55, 283,390,959.04 and 116,006,651.14 is: 160,097,033.02
Step by Step Solution
- Step 1: Write the proportion equation
205,345,692.55 : 283,390,959.04 = 116,006,651.14 : x - Step 2: Convert to fraction form
205,345,692.55/283,390,959.04 = 116,006,651.14/x - Step 3: Cross multiply
205,345,692.55x = 283,390,959.04 × 116,006,651.14 - Step 4: Simplify right side
205,345,692.55x = 32,875,236,119,586,324 - Step 5: Solve for x
x = 32,875,236,119,586,324/205,345,692.55 - Step 6: Final answer
x = 160,097,033.02
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.