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Finding the Fourth Proportional to 81,609.80, 122,252.70 and 71,868.20

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Solution

The fourth proportional to 81,609.80, 122,252.70 and 71,868.20 is: 107,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,609.80 : 122,252.70 = 71,868.20 : x
  2. Step 2: Convert to fraction form
    81,609.80/122,252.70 = 71,868.20/x
  3. Step 3: Cross multiply
    81,609.80x = 122,252.70 × 71,868.20
  4. Step 4: Simplify right side
    81,609.80x = 8,786,081,494.14
  5. Step 5: Solve for x
    x = 8,786,081,494.14/81,609.80
  6. Step 6: Final answer
    x = 107,659.64

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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.