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Finding the Fourth Proportional to 120,191.39, 165,869.14 and 69,202.85

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Solution

The fourth proportional to 120,191.39, 165,869.14 and 69,202.85 is: 95,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,191.39 : 165,869.14 = 69,202.85 : x
  2. Step 2: Convert to fraction form
    120,191.39/165,869.14 = 69,202.85/x
  3. Step 3: Cross multiply
    120,191.39x = 165,869.14 × 69,202.85
  4. Step 4: Simplify right side
    120,191.39x = 11,478,617,456.71
  5. Step 5: Solve for x
    x = 11,478,617,456.71/120,191.39
  6. Step 6: Final answer
    x = 95,502.82

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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.