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Finding the Fourth Proportional to 221,959.20, 332,963.10 and 214,960.80

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Solution

The fourth proportional to 221,959.20, 332,963.10 and 214,960.80 is: 322,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,959.20 : 332,963.10 = 214,960.80 : x
  2. Step 2: Convert to fraction form
    221,959.20/332,963.10 = 214,960.80/x
  3. Step 3: Cross multiply
    221,959.20x = 332,963.10 × 214,960.80
  4. Step 4: Simplify right side
    221,959.20x = 71,574,014,346.48
  5. Step 5: Solve for x
    x = 71,574,014,346.48/221,959.20
  6. Step 6: Final answer
    x = 322,464.73

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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.