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Finding the Fourth Proportional to 221,409.10, 332,113.65 and 209,161.90

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Solution

The fourth proportional to 221,409.10, 332,113.65 and 209,161.90 is: 313,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,409.10 : 332,113.65 = 209,161.90 : x
  2. Step 2: Convert to fraction form
    221,409.10/332,113.65 = 209,161.90/x
  3. Step 3: Cross multiply
    221,409.10x = 332,113.65 × 209,161.90
  4. Step 4: Simplify right side
    221,409.10x = 69,465,522,049.94
  5. Step 5: Solve for x
    x = 69,465,522,049.94/221,409.10
  6. Step 6: Final answer
    x = 313,742.85

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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.