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Finding the Fourth Proportional to 109,910.80, 164,866.20 and 96,788.80

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Solution

The fourth proportional to 109,910.80, 164,866.20 and 96,788.80 is: 145,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,910.80 : 164,866.20 = 96,788.80 : x
  2. Step 2: Convert to fraction form
    109,910.80/164,866.20 = 96,788.80/x
  3. Step 3: Cross multiply
    109,910.80x = 164,866.20 × 96,788.80
  4. Step 4: Simplify right side
    109,910.80x = 15,957,201,658.56
  5. Step 5: Solve for x
    x = 15,957,201,658.56/109,910.80
  6. Step 6: Final answer
    x = 145,183.20

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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.