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Finding the Fourth Proportional to 232,344.38, 320,037.82 and 164,244.24

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Solution

The fourth proportional to 232,344.38, 320,037.82 and 164,244.24 is: 226,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,344.38 : 320,037.82 = 164,244.24 : x
  2. Step 2: Convert to fraction form
    232,344.38/320,037.82 = 164,244.24/x
  3. Step 3: Cross multiply
    232,344.38x = 320,037.82 × 164,244.24
  4. Step 4: Simplify right side
    232,344.38x = 52,564,368,517.16
  5. Step 5: Solve for x
    x = 52,564,368,517.16/232,344.38
  6. Step 6: Final answer
    x = 226,234.73

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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.