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Finding the Fourth Proportional to 232,686.38, 321,229.66 and 156,605.44

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Solution

The fourth proportional to 232,686.38, 321,229.66 and 156,605.44 is: 216,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,686.38 : 321,229.66 = 156,605.44 : x
  2. Step 2: Convert to fraction form
    232,686.38/321,229.66 = 156,605.44/x
  3. Step 3: Cross multiply
    232,686.38x = 321,229.66 × 156,605.44
  4. Step 4: Simplify right side
    232,686.38x = 50,306,312,245.35
  5. Step 5: Solve for x
    x = 50,306,312,245.35/232,686.38
  6. Step 6: Final answer
    x = 216,197.92

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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.