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Finding the Fourth Proportional to 206,375.31, 284,693.13 and 134,797.23

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Solution

The fourth proportional to 206,375.31, 284,693.13 and 134,797.23 is: 185,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,375.31 : 284,693.13 = 134,797.23 : x
  2. Step 2: Convert to fraction form
    206,375.31/284,693.13 = 134,797.23/x
  3. Step 3: Cross multiply
    206,375.31x = 284,693.13 × 134,797.23
  4. Step 4: Simplify right side
    206,375.31x = 38,375,845,324.03
  5. Step 5: Solve for x
    x = 38,375,845,324.03/206,375.31
  6. Step 6: Final answer
    x = 185,951.73

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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.