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Finding the Fourth Proportional to 206,522.38, 284,996.10 and 115,876.36

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Solution

The fourth proportional to 206,522.38, 284,996.10 and 115,876.36 is: 159,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,522.38 : 284,996.10 = 115,876.36 : x
  2. Step 2: Convert to fraction form
    206,522.38/284,996.10 = 115,876.36/x
  3. Step 3: Cross multiply
    206,522.38x = 284,996.10 × 115,876.36
  4. Step 4: Simplify right side
    206,522.38x = 33,024,310,682.20
  5. Step 5: Solve for x
    x = 33,024,310,682.20/206,522.38
  6. Step 6: Final answer
    x = 159,906.69

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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.