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Finding the Fourth Proportional to 206,652.71, 285,180.60 and 116,008.85

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Solution

The fourth proportional to 206,652.71, 285,180.60 and 116,008.85 is: 160,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,652.71 : 285,180.60 = 116,008.85 : x
  2. Step 2: Convert to fraction form
    206,652.71/285,180.60 = 116,008.85/x
  3. Step 3: Cross multiply
    206,652.71x = 285,180.60 × 116,008.85
  4. Step 4: Simplify right side
    206,652.71x = 33,083,472,868.27
  5. Step 5: Solve for x
    x = 33,083,472,868.27/206,652.71
  6. Step 6: Final answer
    x = 160,092.13

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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.