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Finding the Fourth Proportional to 137,777.40, 206,723.70 and 44,311.80

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Solution

The fourth proportional to 137,777.40, 206,723.70 and 44,311.80 is: 66,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,777.40 : 206,723.70 = 44,311.80 : x
  2. Step 2: Convert to fraction form
    137,777.40/206,723.70 = 44,311.80/x
  3. Step 3: Cross multiply
    137,777.40x = 206,723.70 × 44,311.80
  4. Step 4: Simplify right side
    137,777.40x = 9,160,299,249.66
  5. Step 5: Solve for x
    x = 9,160,299,249.66/137,777.40
  6. Step 6: Final answer
    x = 66,486.23

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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.