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Finding the Fourth Proportional to 237,892, 328,290.96 and 131,908

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Solution

The fourth proportional to 237,892, 328,290.96 and 131,908 is: 182,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,892 : 328,290.96 = 131,908 : x
  2. Step 2: Convert to fraction form
    237,892/328,290.96 = 131,908/x
  3. Step 3: Cross multiply
    237,892x = 328,290.96 × 131,908
  4. Step 4: Simplify right side
    237,892x = 43,304,203,951.68
  5. Step 5: Solve for x
    x = 43,304,203,951.68/237,892
  6. Step 6: Final answer
    x = 182,033.04

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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.