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Finding the Fourth Proportional to 157,500.96, 217,346.56 and 85,882.38

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Solution

The fourth proportional to 157,500.96, 217,346.56 and 85,882.38 is: 118,515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,500.96 : 217,346.56 = 85,882.38 : x
  2. Step 2: Convert to fraction form
    157,500.96/217,346.56 = 85,882.38/x
  3. Step 3: Cross multiply
    157,500.96x = 217,346.56 × 85,882.38
  4. Step 4: Simplify right side
    157,500.96x = 18,666,239,857.61
  5. Step 5: Solve for x
    x = 18,666,239,857.61/157,500.96
  6. Step 6: Final answer
    x = 118,515.09

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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.