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Finding the Fourth Proportional to 221,455.80, 332,183.70 and 206,584.20

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Solution

The fourth proportional to 221,455.80, 332,183.70 and 206,584.20 is: 309,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,455.80 : 332,183.70 = 206,584.20 : x
  2. Step 2: Convert to fraction form
    221,455.80/332,183.70 = 206,584.20/x
  3. Step 3: Cross multiply
    221,455.80x = 332,183.70 × 206,584.20
  4. Step 4: Simplify right side
    221,455.80x = 68,623,903,917.54
  5. Step 5: Solve for x
    x = 68,623,903,917.54/221,455.80
  6. Step 6: Final answer
    x = 309,876.30

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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.