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Finding the Fourth Proportional to 135,206.49, 202,723.88 and 71,987.61

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Solution

The fourth proportional to 135,206.49, 202,723.88 and 71,987.61 is: 107,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,206.49 : 202,723.88 = 71,987.61 : x
  2. Step 2: Convert to fraction form
    135,206.49/202,723.88 = 71,987.61/x
  3. Step 3: Cross multiply
    135,206.49x = 202,723.88 × 71,987.61
  4. Step 4: Simplify right side
    135,206.49x = 14,593,607,251.19
  5. Step 5: Solve for x
    x = 14,593,607,251.19/135,206.49
  6. Step 6: Final answer
    x = 107,935.70

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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.