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Finding the Fourth Proportional to 232,374.92, 320,658.18 and 164,431.71

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Solution

The fourth proportional to 232,374.92, 320,658.18 and 164,431.71 is: 226,902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,374.92 : 320,658.18 = 164,431.71 : x
  2. Step 2: Convert to fraction form
    232,374.92/320,658.18 = 164,431.71/x
  3. Step 3: Cross multiply
    232,374.92x = 320,658.18 × 164,431.71
  4. Step 4: Simplify right side
    232,374.92x = 52,726,372,862.89
  5. Step 5: Solve for x
    x = 52,726,372,862.89/232,374.92
  6. Step 6: Final answer
    x = 226,902.17

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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.