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Finding the Fourth Proportional to 150,024.82, 225,147.99 and 71,139.32

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Solution

The fourth proportional to 150,024.82, 225,147.99 and 71,139.32 is: 106,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,024.82 : 225,147.99 = 71,139.32 : x
  2. Step 2: Convert to fraction form
    150,024.82/225,147.99 = 71,139.32/x
  3. Step 3: Cross multiply
    150,024.82x = 225,147.99 × 71,139.32
  4. Step 4: Simplify right side
    150,024.82x = 16,016,874,907.97
  5. Step 5: Solve for x
    x = 16,016,874,907.97/150,024.82
  6. Step 6: Final answer
    x = 106,761.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.