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Finding the Fourth Proportional to 137,040.68, 205,517.28 and 43,524.56

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Solution

The fourth proportional to 137,040.68, 205,517.28 and 43,524.56 is: 65,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,040.68 : 205,517.28 = 43,524.56 : x
  2. Step 2: Convert to fraction form
    137,040.68/205,517.28 = 43,524.56/x
  3. Step 3: Cross multiply
    137,040.68x = 205,517.28 × 43,524.56
  4. Step 4: Simplify right side
    137,040.68x = 8,945,049,184.40
  5. Step 5: Solve for x
    x = 8,945,049,184.40/137,040.68
  6. Step 6: Final answer
    x = 65,272.95

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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.