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Finding the Fourth Proportional to 150,542.32, 207,757.74 and 83,474.32

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Solution

The fourth proportional to 150,542.32, 207,757.74 and 83,474.32 is: 115,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,542.32 : 207,757.74 = 83,474.32 : x
  2. Step 2: Convert to fraction form
    150,542.32/207,757.74 = 83,474.32/x
  3. Step 3: Cross multiply
    150,542.32x = 207,757.74 × 83,474.32
  4. Step 4: Simplify right side
    150,542.32x = 17,342,436,071.24
  5. Step 5: Solve for x
    x = 17,342,436,071.24/150,542.32
  6. Step 6: Final answer
    x = 115,199.74

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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.