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Finding the Fourth Proportional to 231,226.95, 319,086.49 and 129,252.61

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Solution

The fourth proportional to 231,226.95, 319,086.49 and 129,252.61 is: 178,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,226.95 : 319,086.49 = 129,252.61 : x
  2. Step 2: Convert to fraction form
    231,226.95/319,086.49 = 129,252.61/x
  3. Step 3: Cross multiply
    231,226.95x = 319,086.49 × 129,252.61
  4. Step 4: Simplify right side
    231,226.95x = 41,242,761,966.31
  5. Step 5: Solve for x
    x = 41,242,761,966.31/231,226.95
  6. Step 6: Final answer
    x = 178,364.85

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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.