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Finding the Fourth Proportional to 206,377.32, 284,695.82 and 134,799.24

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Solution

The fourth proportional to 206,377.32, 284,695.82 and 134,799.24 is: 185,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,377.32 : 284,695.82 = 134,799.24 : x
  2. Step 2: Convert to fraction form
    206,377.32/284,695.82 = 134,799.24/x
  3. Step 3: Cross multiply
    206,377.32x = 284,695.82 × 134,799.24
  4. Step 4: Simplify right side
    206,377.32x = 38,376,780,167.18
  5. Step 5: Solve for x
    x = 38,376,780,167.18/206,377.32
  6. Step 6: Final answer
    x = 185,954.45

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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.