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Finding the Fourth Proportional to 123,761.40, 185,642.10 and 89,028.60

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Solution

The fourth proportional to 123,761.40, 185,642.10 and 89,028.60 is: 133,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,761.40 : 185,642.10 = 89,028.60 : x
  2. Step 2: Convert to fraction form
    123,761.40/185,642.10 = 89,028.60/x
  3. Step 3: Cross multiply
    123,761.40x = 185,642.10 × 89,028.60
  4. Step 4: Simplify right side
    123,761.40x = 16,527,456,264.06
  5. Step 5: Solve for x
    x = 16,527,456,264.06/123,761.40
  6. Step 6: Final answer
    x = 133,542.90

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Why These Related Problems?

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