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Finding the Fourth Proportional to 274,694.38, 379,082.51 and 158,343.64

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Solution

The fourth proportional to 274,694.38, 379,082.51 and 158,343.64 is: 218,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,694.38 : 379,082.51 = 158,343.64 : x
  2. Step 2: Convert to fraction form
    274,694.38/379,082.51 = 158,343.64/x
  3. Step 3: Cross multiply
    274,694.38x = 379,082.51 × 158,343.64
  4. Step 4: Simplify right side
    274,694.38x = 60,025,304,235.47
  5. Step 5: Solve for x
    x = 60,025,304,235.47/274,694.38
  6. Step 6: Final answer
    x = 218,516.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.