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Finding the Fourth Proportional to 137,966.80, 206,986.20 and 44,474.80

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Solution

The fourth proportional to 137,966.80, 206,986.20 and 44,474.80 is: 66,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,966.80 : 206,986.20 = 44,474.80 : x
  2. Step 2: Convert to fraction form
    137,966.80/206,986.20 = 44,474.80/x
  3. Step 3: Cross multiply
    137,966.80x = 206,986.20 × 44,474.80
  4. Step 4: Simplify right side
    137,966.80x = 9,205,669,847.76
  5. Step 5: Solve for x
    x = 9,205,669,847.76/137,966.80
  6. Step 6: Final answer
    x = 66,723.80

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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.