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Finding the Fourth Proportional to 206,792.89, 285,375.34 and 116,148.87

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Solution

The fourth proportional to 206,792.89, 285,375.34 and 116,148.87 is: 160,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,792.89 : 285,375.34 = 116,148.87 : x
  2. Step 2: Convert to fraction form
    206,792.89/285,375.34 = 116,148.87/x
  3. Step 3: Cross multiply
    206,792.89x = 285,375.34 × 116,148.87
  4. Step 4: Simplify right side
    206,792.89x = 33,146,023,266.87
  5. Step 5: Solve for x
    x = 33,146,023,266.87/206,792.89
  6. Step 6: Final answer
    x = 160,286.09

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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.