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Finding the Fourth Proportional to 137,777.80, 206,469.90 and 78,488.20

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Solution

The fourth proportional to 137,777.80, 206,469.90 and 78,488.20 is: 117,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,777.80 : 206,469.90 = 78,488.20 : x
  2. Step 2: Convert to fraction form
    137,777.80/206,469.90 = 78,488.20/x
  3. Step 3: Cross multiply
    137,777.80x = 206,469.90 × 78,488.20
  4. Step 4: Simplify right side
    137,777.80x = 16,205,450,805.18
  5. Step 5: Solve for x
    x = 16,205,450,805.18/137,777.80
  6. Step 6: Final answer
    x = 117,620.19

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1.5x scale

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.