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Finding the Fourth Proportional to 231,622.87, 319,594.11 and 145,531.97

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Solution

The fourth proportional to 231,622.87, 319,594.11 and 145,531.97 is: 200,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,622.87 : 319,594.11 = 145,531.97 : x
  2. Step 2: Convert to fraction form
    231,622.87/319,594.11 = 145,531.97/x
  3. Step 3: Cross multiply
    231,622.87x = 319,594.11 × 145,531.97
  4. Step 4: Simplify right side
    231,622.87x = 46,511,160,428.70
  5. Step 5: Solve for x
    x = 46,511,160,428.70/231,622.87
  6. Step 6: Final answer
    x = 200,805.56

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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.