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Finding the Fourth Proportional to 90,509.65, 135,863.79 and 71,909.25

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Solution

The fourth proportional to 90,509.65, 135,863.79 and 71,909.25 is: 107,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,509.65 : 135,863.79 = 71,909.25 : x
  2. Step 2: Convert to fraction form
    90,509.65/135,863.79 = 71,909.25/x
  3. Step 3: Cross multiply
    90,509.65x = 135,863.79 × 71,909.25
  4. Step 4: Simplify right side
    90,509.65x = 9,769,862,381.97
  5. Step 5: Solve for x
    x = 9,769,862,381.97/90,509.65
  6. Step 6: Final answer
    x = 107,942.78

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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.