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Finding the Fourth Proportional to 116,882.92, 175,272.54 and 72,507.88

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Solution

The fourth proportional to 116,882.92, 175,272.54 and 72,507.88 is: 108,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,882.92 : 175,272.54 = 72,507.88 : x
  2. Step 2: Convert to fraction form
    116,882.92/175,272.54 = 72,507.88/x
  3. Step 3: Cross multiply
    116,882.92x = 175,272.54 × 72,507.88
  4. Step 4: Simplify right side
    116,882.92x = 12,708,640,297.62
  5. Step 5: Solve for x
    x = 12,708,640,297.62/116,882.92
  6. Step 6: Final answer
    x = 108,729.66

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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.