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Finding the Fourth Proportional to 221,682.40, 332,572.20 and 71,897.20

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Solution

The fourth proportional to 221,682.40, 332,572.20 and 71,897.20 is: 107,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,682.40 : 332,572.20 = 71,897.20 : x
  2. Step 2: Convert to fraction form
    221,682.40/332,572.20 = 71,897.20/x
  3. Step 3: Cross multiply
    221,682.40x = 332,572.20 × 71,897.20
  4. Step 4: Simplify right side
    221,682.40x = 23,911,009,977.84
  5. Step 5: Solve for x
    x = 23,911,009,977.84/221,682.40
  6. Step 6: Final answer
    x = 107,861.56

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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.