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Finding the Fourth Proportional to 157,781.75, 217,757.43 and 88,873.46

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Solution

The fourth proportional to 157,781.75, 217,757.43 and 88,873.46 is: 122,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,781.75 : 217,757.43 = 88,873.46 : x
  2. Step 2: Convert to fraction form
    157,781.75/217,757.43 = 88,873.46/x
  3. Step 3: Cross multiply
    157,781.75x = 217,757.43 × 88,873.46
  4. Step 4: Simplify right side
    157,781.75x = 19,352,855,156.02
  5. Step 5: Solve for x
    x = 19,352,855,156.02/157,781.75
  6. Step 6: Final answer
    x = 122,655.86

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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.