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Finding the Fourth Proportional to 221,819.82, 332,861.49 and 81,676.86

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Solution

The fourth proportional to 221,819.82, 332,861.49 and 81,676.86 is: 122,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,819.82 : 332,861.49 = 81,676.86 : x
  2. Step 2: Convert to fraction form
    221,819.82/332,861.49 = 81,676.86/x
  3. Step 3: Cross multiply
    221,819.82x = 332,861.49 × 81,676.86
  4. Step 4: Simplify right side
    221,819.82x = 27,187,081,318.12
  5. Step 5: Solve for x
    x = 27,187,081,318.12/221,819.82
  6. Step 6: Final answer
    x = 122,563.81

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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.