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Finding the Fourth Proportional to 221,453.64, 332,233.20 and 71,694

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Solution

The fourth proportional to 221,453.64, 332,233.20 and 71,694 is: 107,558.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,453.64 : 332,233.20 = 71,694 : x
  2. Step 2: Convert to fraction form
    221,453.64/332,233.20 = 71,694/x
  3. Step 3: Cross multiply
    221,453.64x = 332,233.20 × 71,694
  4. Step 4: Simplify right side
    221,453.64x = 23,819,127,040.80
  5. Step 5: Solve for x
    x = 23,819,127,040.80/221,453.64
  6. Step 6: Final answer
    x = 107,558.07

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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.