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Finding the Fourth Proportional to 110,577.60, 165,736.80 and 82,843.20

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Solution

The fourth proportional to 110,577.60, 165,736.80 and 82,843.20 is: 124,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,577.60 : 165,736.80 = 82,843.20 : x
  2. Step 2: Convert to fraction form
    110,577.60/165,736.80 = 82,843.20/x
  3. Step 3: Cross multiply
    110,577.60x = 165,736.80 × 82,843.20
  4. Step 4: Simplify right side
    110,577.60x = 13,730,166,869.76
  5. Step 5: Solve for x
    x = 13,730,166,869.76/110,577.60
  6. Step 6: Final answer
    x = 124,167.71

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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.