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Finding the Fourth Proportional to 110,198.92, 165,201.49 and 43,685.77

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Solution

The fourth proportional to 110,198.92, 165,201.49 and 43,685.77 is: 65,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,198.92 : 165,201.49 = 43,685.77 : x
  2. Step 2: Convert to fraction form
    110,198.92/165,201.49 = 43,685.77/x
  3. Step 3: Cross multiply
    110,198.92x = 165,201.49 × 43,685.77
  4. Step 4: Simplify right side
    110,198.92x = 7,216,954,295.80
  5. Step 5: Solve for x
    x = 7,216,954,295.80/110,198.92
  6. Step 6: Final answer
    x = 65,490.25

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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.