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Finding the Fourth Proportional to 224,537.85, 309,930.92 and 138,523.61

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Solution

The fourth proportional to 224,537.85, 309,930.92 and 138,523.61 is: 191,204.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,537.85 : 309,930.92 = 138,523.61 : x
  2. Step 2: Convert to fraction form
    224,537.85/309,930.92 = 138,523.61/x
  3. Step 3: Cross multiply
    224,537.85x = 309,930.92 × 138,523.61
  4. Step 4: Simplify right side
    224,537.85x = 42,932,747,646.75
  5. Step 5: Solve for x
    x = 42,932,747,646.75/224,537.85
  6. Step 6: Final answer
    x = 191,204.95

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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.