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Finding the Fourth Proportional to 252,136.72, 347,956.20 and 138,966.80

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Solution

The fourth proportional to 252,136.72, 347,956.20 and 138,966.80 is: 191,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,136.72 : 347,956.20 = 138,966.80 : x
  2. Step 2: Convert to fraction form
    252,136.72/347,956.20 = 138,966.80/x
  3. Step 3: Cross multiply
    252,136.72x = 347,956.20 × 138,966.80
  4. Step 4: Simplify right side
    252,136.72x = 48,354,359,654.16
  5. Step 5: Solve for x
    x = 48,354,359,654.16/252,136.72
  6. Step 6: Final answer
    x = 191,778.33

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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.