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Finding the Fourth Proportional to 232,769.13, 321,221.70 and 132,167.13

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Solution

The fourth proportional to 232,769.13, 321,221.70 and 132,167.13 is: 182,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,769.13 : 321,221.70 = 132,167.13 : x
  2. Step 2: Convert to fraction form
    232,769.13/321,221.70 = 132,167.13/x
  3. Step 3: Cross multiply
    232,769.13x = 321,221.70 × 132,167.13
  4. Step 4: Simplify right side
    232,769.13x = 42,454,950,182.72
  5. Step 5: Solve for x
    x = 42,454,950,182.72/232,769.13
  6. Step 6: Final answer
    x = 182,390.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.