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Finding the Fourth Proportional to 110,617.60, 165,796.80 and 82,883.20

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Solution

The fourth proportional to 110,617.60, 165,796.80 and 82,883.20 is: 124,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,617.60 : 165,796.80 = 82,883.20 : x
  2. Step 2: Convert to fraction form
    110,617.60/165,796.80 = 82,883.20/x
  3. Step 3: Cross multiply
    110,617.60x = 165,796.80 × 82,883.20
  4. Step 4: Simplify right side
    110,617.60x = 13,741,769,333.76
  5. Step 5: Solve for x
    x = 13,741,769,333.76/110,617.60
  6. Step 6: Final answer
    x = 124,227.69

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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.