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Finding the Fourth Proportional to 133,434.30, 200,134.17 and 50,317.50

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Solution

The fourth proportional to 133,434.30, 200,134.17 and 50,317.50 is: 75,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,434.30 : 200,134.17 = 50,317.50 : x
  2. Step 2: Convert to fraction form
    133,434.30/200,134.17 = 50,317.50/x
  3. Step 3: Cross multiply
    133,434.30x = 200,134.17 × 50,317.50
  4. Step 4: Simplify right side
    133,434.30x = 10,070,251,098.98
  5. Step 5: Solve for x
    x = 10,070,251,098.98/133,434.30
  6. Step 6: Final answer
    x = 75,469.73

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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.