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Finding the Fourth Proportional to 159,456.47, 239,190.17 and 84,475.17

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Solution

The fourth proportional to 159,456.47, 239,190.17 and 84,475.17 is: 126,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,456.47 : 239,190.17 = 84,475.17 : x
  2. Step 2: Convert to fraction form
    159,456.47/239,190.17 = 84,475.17/x
  3. Step 3: Cross multiply
    159,456.47x = 239,190.17 × 84,475.17
  4. Step 4: Simplify right side
    159,456.47x = 20,205,629,850.70
  5. Step 5: Solve for x
    x = 20,205,629,850.70/159,456.47
  6. Step 6: Final answer
    x = 126,715.65

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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.