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Finding the Fourth Proportional to 135,438.50, 186,843.10 and 87,707.24

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Solution

The fourth proportional to 135,438.50, 186,843.10 and 87,707.24 is: 120,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,438.50 : 186,843.10 = 87,707.24 : x
  2. Step 2: Convert to fraction form
    135,438.50/186,843.10 = 87,707.24/x
  3. Step 3: Cross multiply
    135,438.50x = 186,843.10 × 87,707.24
  4. Step 4: Simplify right side
    135,438.50x = 16,387,492,614.04
  5. Step 5: Solve for x
    x = 16,387,492,614.04/135,438.50
  6. Step 6: Final answer
    x = 120,995.82

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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.