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Finding the Fourth Proportional to 242,092.92, 363,306.42 and 84,322.68

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Solution

The fourth proportional to 242,092.92, 363,306.42 and 84,322.68 is: 126,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,092.92 : 363,306.42 = 84,322.68 : x
  2. Step 2: Convert to fraction form
    242,092.92/363,306.42 = 84,322.68/x
  3. Step 3: Cross multiply
    242,092.92x = 363,306.42 × 84,322.68
  4. Step 4: Simplify right side
    242,092.92x = 30,634,970,995.61
  5. Step 5: Solve for x
    x = 30,634,970,995.61/242,092.92
  6. Step 6: Final answer
    x = 126,542.20

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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.