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Finding the Fourth Proportional to 232,687.89, 321,109.11 and 132,085.89

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Solution

The fourth proportional to 232,687.89, 321,109.11 and 132,085.89 is: 182,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,687.89 : 321,109.11 = 132,085.89 : x
  2. Step 2: Convert to fraction form
    232,687.89/321,109.11 = 132,085.89/x
  3. Step 3: Cross multiply
    232,687.89x = 321,109.11 × 132,085.89
  4. Step 4: Simplify right side
    232,687.89x = 42,413,982,581.46
  5. Step 5: Solve for x
    x = 42,413,982,581.46/232,687.89
  6. Step 6: Final answer
    x = 182,278.43

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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.