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Finding the Fourth Proportional to 137,912.76, 206,869.14 and 44,418.50

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Solution

The fourth proportional to 137,912.76, 206,869.14 and 44,418.50 is: 66,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,912.76 : 206,869.14 = 44,418.50 : x
  2. Step 2: Convert to fraction form
    137,912.76/206,869.14 = 44,418.50/x
  3. Step 3: Cross multiply
    137,912.76x = 206,869.14 × 44,418.50
  4. Step 4: Simplify right side
    137,912.76x = 9,188,816,895.09
  5. Step 5: Solve for x
    x = 9,188,816,895.09/137,912.76
  6. Step 6: Final answer
    x = 66,627.75

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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.