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Finding the Fourth Proportional to 110,578.60, 165,738.30 and 82,844.20

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Solution

The fourth proportional to 110,578.60, 165,738.30 and 82,844.20 is: 124,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,578.60 : 165,738.30 = 82,844.20 : x
  2. Step 2: Convert to fraction form
    110,578.60/165,738.30 = 82,844.20/x
  3. Step 3: Cross multiply
    110,578.60x = 165,738.30 × 82,844.20
  4. Step 4: Simplify right side
    110,578.60x = 13,730,456,872.86
  5. Step 5: Solve for x
    x = 13,730,456,872.86/110,578.60
  6. Step 6: Final answer
    x = 124,169.21

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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.