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Finding the Fourth Proportional to 206,324.38, 284,721.10 and 115,685.54

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Solution

The fourth proportional to 206,324.38, 284,721.10 and 115,685.54 is: 159,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,324.38 : 284,721.10 = 115,685.54 : x
  2. Step 2: Convert to fraction form
    206,324.38/284,721.10 = 115,685.54/x
  3. Step 3: Cross multiply
    206,324.38x = 284,721.10 × 115,685.54
  4. Step 4: Simplify right side
    206,324.38x = 32,938,112,490.07
  5. Step 5: Solve for x
    x = 32,938,112,490.07/206,324.38
  6. Step 6: Final answer
    x = 159,642.37

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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.