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Finding the Fourth Proportional to 232,747.29, 321,191.64 and 132,145.29

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Solution

The fourth proportional to 232,747.29, 321,191.64 and 132,145.29 is: 182,360.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,747.29 : 321,191.64 = 132,145.29 : x
  2. Step 2: Convert to fraction form
    232,747.29/321,191.64 = 132,145.29/x
  3. Step 3: Cross multiply
    232,747.29x = 321,191.64 × 132,145.29
  4. Step 4: Simplify right side
    232,747.29x = 42,443,962,413.38
  5. Step 5: Solve for x
    x = 42,443,962,413.38/232,747.29
  6. Step 6: Final answer
    x = 182,360.72

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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.