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Finding the Fourth Proportional to 206,657.28, 285,186.89 and 116,013.42

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Solution

The fourth proportional to 206,657.28, 285,186.89 and 116,013.42 is: 160,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,657.28 : 285,186.89 = 116,013.42 : x
  2. Step 2: Convert to fraction form
    206,657.28/285,186.89 = 116,013.42/x
  3. Step 3: Cross multiply
    206,657.28x = 285,186.89 × 116,013.42
  4. Step 4: Simplify right side
    206,657.28x = 33,085,506,738.10
  5. Step 5: Solve for x
    x = 33,085,506,738.10/206,657.28
  6. Step 6: Final answer
    x = 160,098.43

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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.