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Finding the Fourth Proportional to 137,906.40, 206,859.60 and 44,412.15

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Solution

The fourth proportional to 137,906.40, 206,859.60 and 44,412.15 is: 66,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,906.40 : 206,859.60 = 44,412.15 : x
  2. Step 2: Convert to fraction form
    137,906.40/206,859.60 = 44,412.15/x
  3. Step 3: Cross multiply
    137,906.40x = 206,859.60 × 44,412.15
  4. Step 4: Simplify right side
    137,906.40x = 9,187,079,584.14
  5. Step 5: Solve for x
    x = 9,187,079,584.14/137,906.40
  6. Step 6: Final answer
    x = 66,618.23

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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.