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Finding the Fourth Proportional to 103,949.80, 155,694.30 and 80,500.20

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Solution

The fourth proportional to 103,949.80, 155,694.30 and 80,500.20 is: 120,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,949.80 : 155,694.30 = 80,500.20 : x
  2. Step 2: Convert to fraction form
    103,949.80/155,694.30 = 80,500.20/x
  3. Step 3: Cross multiply
    103,949.80x = 155,694.30 × 80,500.20
  4. Step 4: Simplify right side
    103,949.80x = 12,533,422,288.86
  5. Step 5: Solve for x
    x = 12,533,422,288.86/103,949.80
  6. Step 6: Final answer
    x = 120,571.87

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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.