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Finding the Fourth Proportional to 342,951.92, 514,759.20 and 165,583.52

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Solution

The fourth proportional to 342,951.92, 514,759.20 and 165,583.52 is: 248,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,951.92 : 514,759.20 = 165,583.52 : x
  2. Step 2: Convert to fraction form
    342,951.92/514,759.20 = 165,583.52/x
  3. Step 3: Cross multiply
    342,951.92x = 514,759.20 × 165,583.52
  4. Step 4: Simplify right side
    342,951.92x = 85,235,640,288.38
  5. Step 5: Solve for x
    x = 85,235,640,288.38/342,951.92
  6. Step 6: Final answer
    x = 248,535.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.