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Finding the Fourth Proportional to 133,038.38, 199,451.61 and 76,814.71

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Solution

The fourth proportional to 133,038.38, 199,451.61 and 76,814.71 is: 115,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038.38 : 199,451.61 = 76,814.71 : x
  2. Step 2: Convert to fraction form
    133,038.38/199,451.61 = 76,814.71/x
  3. Step 3: Cross multiply
    133,038.38x = 199,451.61 × 76,814.71
  4. Step 4: Simplify right side
    133,038.38x = 15,320,817,197.11
  5. Step 5: Solve for x
    x = 15,320,817,197.11/133,038.38
  6. Step 6: Final answer
    x = 115,160.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.