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Finding the Fourth Proportional to 232,706.16, 321,172.61 and 193,882.44

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Solution

The fourth proportional to 232,706.16, 321,172.61 and 193,882.44 is: 267,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,706.16 : 321,172.61 = 193,882.44 : x
  2. Step 2: Convert to fraction form
    232,706.16/321,172.61 = 193,882.44/x
  3. Step 3: Cross multiply
    232,706.16x = 321,172.61 × 193,882.44
  4. Step 4: Simplify right side
    232,706.16x = 62,269,729,287.97
  5. Step 5: Solve for x
    x = 62,269,729,287.97/232,706.16
  6. Step 6: Final answer
    x = 267,589.52

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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.