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Finding the Fourth Proportional to 150,286.47, 207,391.31 and 85,754.53

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Solution

The fourth proportional to 150,286.47, 207,391.31 and 85,754.53 is: 118,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,286.47 : 207,391.31 = 85,754.53 : x
  2. Step 2: Convert to fraction form
    150,286.47/207,391.31 = 85,754.53/x
  3. Step 3: Cross multiply
    150,286.47x = 207,391.31 × 85,754.53
  4. Step 4: Simplify right side
    150,286.47x = 17,784,745,211.26
  5. Step 5: Solve for x
    x = 17,784,745,211.26/150,286.47
  6. Step 6: Final answer
    x = 118,338.96

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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.