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Finding the Fourth Proportional to 150,337.52, 207,463.29 and 82,353.86

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Solution

The fourth proportional to 150,337.52, 207,463.29 and 82,353.86 is: 113,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,337.52 : 207,463.29 = 82,353.86 : x
  2. Step 2: Convert to fraction form
    150,337.52/207,463.29 = 82,353.86/x
  3. Step 3: Cross multiply
    150,337.52x = 207,463.29 × 82,353.86
  4. Step 4: Simplify right side
    150,337.52x = 17,085,402,739.80
  5. Step 5: Solve for x
    x = 17,085,402,739.80/150,337.52
  6. Step 6: Final answer
    x = 113,646.96

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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.