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Finding the Fourth Proportional to 238,360.86, 329,082.48 and 157,857.39

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Solution

The fourth proportional to 238,360.86, 329,082.48 and 157,857.39 is: 217,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,360.86 : 329,082.48 = 157,857.39 : x
  2. Step 2: Convert to fraction form
    238,360.86/329,082.48 = 157,857.39/x
  3. Step 3: Cross multiply
    238,360.86x = 329,082.48 × 157,857.39
  4. Step 4: Simplify right side
    238,360.86x = 51,948,101,387.53
  5. Step 5: Solve for x
    x = 51,948,101,387.53/238,360.86
  6. Step 6: Final answer
    x = 217,938.89

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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.