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Finding the Fourth Proportional to 199,610.40, 298,978.20 and 106,006.80

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Solution

The fourth proportional to 199,610.40, 298,978.20 and 106,006.80 is: 158,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,610.40 : 298,978.20 = 106,006.80 : x
  2. Step 2: Convert to fraction form
    199,610.40/298,978.20 = 106,006.80/x
  3. Step 3: Cross multiply
    199,610.40x = 298,978.20 × 106,006.80
  4. Step 4: Simplify right side
    199,610.40x = 31,693,722,251.76
  5. Step 5: Solve for x
    x = 31,693,722,251.76/199,610.40
  6. Step 6: Final answer
    x = 158,777.91

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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.