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Finding the Fourth Proportional to 159,892.92, 239,797.56 and 47,542.86

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Solution

The fourth proportional to 159,892.92, 239,797.56 and 47,542.86 is: 71,301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,892.92 : 239,797.56 = 47,542.86 : x
  2. Step 2: Convert to fraction form
    159,892.92/239,797.56 = 47,542.86/x
  3. Step 3: Cross multiply
    159,892.92x = 239,797.56 × 47,542.86
  4. Step 4: Simplify right side
    159,892.92x = 11,400,661,823.42
  5. Step 5: Solve for x
    x = 11,400,661,823.42/159,892.92
  6. Step 6: Final answer
    x = 71,301.86

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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.