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Finding the Fourth Proportional to 206,956.89, 285,592.10 and 126,519.03

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Solution

The fourth proportional to 206,956.89, 285,592.10 and 126,519.03 is: 174,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,956.89 : 285,592.10 = 126,519.03 : x
  2. Step 2: Convert to fraction form
    206,956.89/285,592.10 = 126,519.03/x
  3. Step 3: Cross multiply
    206,956.89x = 285,592.10 × 126,519.03
  4. Step 4: Simplify right side
    206,956.89x = 36,132,834,835.07
  5. Step 5: Solve for x
    x = 36,132,834,835.07/206,956.89
  6. Step 6: Final answer
    x = 174,591.12

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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.