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Finding the Fourth Proportional to 221,412.30, 332,118.45 and 206,540.70

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Solution

The fourth proportional to 221,412.30, 332,118.45 and 206,540.70 is: 309,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,412.30 : 332,118.45 = 206,540.70 : x
  2. Step 2: Convert to fraction form
    221,412.30/332,118.45 = 206,540.70/x
  3. Step 3: Cross multiply
    221,412.30x = 332,118.45 × 206,540.70
  4. Step 4: Simplify right side
    221,412.30x = 68,595,977,145.92
  5. Step 5: Solve for x
    x = 68,595,977,145.92/221,412.30
  6. Step 6: Final answer
    x = 309,811.05

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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.