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Finding the Fourth Proportional to 157,764.31, 217,713.90 and 86,144.38

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Solution

The fourth proportional to 157,764.31, 217,713.90 and 86,144.38 is: 118,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,764.31 : 217,713.90 = 86,144.38 : x
  2. Step 2: Convert to fraction form
    157,764.31/217,713.90 = 86,144.38/x
  3. Step 3: Cross multiply
    157,764.31x = 217,713.90 × 86,144.38
  4. Step 4: Simplify right side
    157,764.31x = 18,754,828,932.88
  5. Step 5: Solve for x
    x = 18,754,828,932.88/157,764.31
  6. Step 6: Final answer
    x = 118,878.78

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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.