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Finding the Fourth Proportional to 206,654.57, 285,183.20 and 116,010.71

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Solution

The fourth proportional to 206,654.57, 285,183.20 and 116,010.71 is: 160,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,654.57 : 285,183.20 = 116,010.71 : x
  2. Step 2: Convert to fraction form
    206,654.57/285,183.20 = 116,010.71/x
  3. Step 3: Cross multiply
    206,654.57x = 285,183.20 × 116,010.71
  4. Step 4: Simplify right side
    206,654.57x = 33,084,304,932.02
  5. Step 5: Solve for x
    x = 33,084,304,932.02/206,654.57
  6. Step 6: Final answer
    x = 160,094.72

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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.