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Finding the Fourth Proportional to 237,694.20, 327,964.78 and 135,687.16

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Solution

The fourth proportional to 237,694.20, 327,964.78 and 135,687.16 is: 187,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,694.20 : 327,964.78 = 135,687.16 : x
  2. Step 2: Convert to fraction form
    237,694.20/327,964.78 = 135,687.16/x
  3. Step 3: Cross multiply
    237,694.20x = 327,964.78 × 135,687.16
  4. Step 4: Simplify right side
    237,694.20x = 44,500,609,578.22
  5. Step 5: Solve for x
    x = 44,500,609,578.22/237,694.20
  6. Step 6: Final answer
    x = 187,217.90

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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.