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Finding the Fourth Proportional to 209,311.20, 313,966.80 and 76,195.80

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Solution

The fourth proportional to 209,311.20, 313,966.80 and 76,195.80 is: 114,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,311.20 : 313,966.80 = 76,195.80 : x
  2. Step 2: Convert to fraction form
    209,311.20/313,966.80 = 76,195.80/x
  3. Step 3: Cross multiply
    209,311.20x = 313,966.80 × 76,195.80
  4. Step 4: Simplify right side
    209,311.20x = 23,922,951,499.44
  5. Step 5: Solve for x
    x = 23,922,951,499.44/209,311.20
  6. Step 6: Final answer
    x = 114,293.70

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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.