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Finding the Fourth Proportional to 176,780.34, 243,952.18 and 96,206.13

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Solution

The fourth proportional to 176,780.34, 243,952.18 and 96,206.13 is: 132,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,780.34 : 243,952.18 = 96,206.13 : x
  2. Step 2: Convert to fraction form
    176,780.34/243,952.18 = 96,206.13/x
  3. Step 3: Cross multiply
    176,780.34x = 243,952.18 × 96,206.13
  4. Step 4: Simplify right side
    176,780.34x = 23,469,695,142.86
  5. Step 5: Solve for x
    x = 23,469,695,142.86/176,780.34
  6. Step 6: Final answer
    x = 132,761.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.