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Finding the Fourth Proportional to 137,907.75, 206,476.22 and 74,500.71

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Solution

The fourth proportional to 137,907.75, 206,476.22 and 74,500.71 is: 111,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,907.75 : 206,476.22 = 74,500.71 : x
  2. Step 2: Convert to fraction form
    137,907.75/206,476.22 = 74,500.71/x
  3. Step 3: Cross multiply
    137,907.75x = 206,476.22 × 74,500.71
  4. Step 4: Simplify right side
    137,907.75x = 15,382,625,195.57
  5. Step 5: Solve for x
    x = 15,382,625,195.57/137,907.75
  6. Step 6: Final answer
    x = 111,542.86

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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.