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Finding the Fourth Proportional to 221,723.80, 332,512.80 and 81,464.20

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Solution

The fourth proportional to 221,723.80, 332,512.80 and 81,464.20 is: 122,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,723.80 : 332,512.80 = 81,464.20 : x
  2. Step 2: Convert to fraction form
    221,723.80/332,512.80 = 81,464.20/x
  3. Step 3: Cross multiply
    221,723.80x = 332,512.80 × 81,464.20
  4. Step 4: Simplify right side
    221,723.80x = 27,087,889,241.76
  5. Step 5: Solve for x
    x = 27,087,889,241.76/221,723.80
  6. Step 6: Final answer
    x = 122,169.52

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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.