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Finding the Fourth Proportional to 232,332.54, 347,618.43 and 137,613.54

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Solution

The fourth proportional to 232,332.54, 347,618.43 and 137,613.54 is: 205,898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,332.54 : 347,618.43 = 137,613.54 : x
  2. Step 2: Convert to fraction form
    232,332.54/347,618.43 = 137,613.54/x
  3. Step 3: Cross multiply
    232,332.54x = 347,618.43 × 137,613.54
  4. Step 4: Simplify right side
    232,332.54x = 47,837,002,721.54
  5. Step 5: Solve for x
    x = 47,837,002,721.54/232,332.54
  6. Step 6: Final answer
    x = 205,898.85

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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.