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Finding the Fourth Proportional to 221,777.46, 332,596.40 and 71,983.15

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Solution

The fourth proportional to 221,777.46, 332,596.40 and 71,983.15 is: 107,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,777.46 : 332,596.40 = 71,983.15 : x
  2. Step 2: Convert to fraction form
    221,777.46/332,596.40 = 71,983.15/x
  3. Step 3: Cross multiply
    221,777.46x = 332,596.40 × 71,983.15
  4. Step 4: Simplify right side
    221,777.46x = 23,941,335,359.25
  5. Step 5: Solve for x
    x = 23,941,335,359.25/221,777.46
  6. Step 6: Final answer
    x = 107,952.07

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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.