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Finding the Fourth Proportional to 157,380.28, 217,183.82 and 85,760.08

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Solution

The fourth proportional to 157,380.28, 217,183.82 and 85,760.08 is: 118,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,380.28 : 217,183.82 = 85,760.08 : x
  2. Step 2: Convert to fraction form
    157,380.28/217,183.82 = 85,760.08/x
  3. Step 3: Cross multiply
    157,380.28x = 217,183.82 × 85,760.08
  4. Step 4: Simplify right side
    157,380.28x = 18,625,701,777.91
  5. Step 5: Solve for x
    x = 18,625,701,777.91/157,380.28
  6. Step 6: Final answer
    x = 118,348.38

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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.