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Finding the Fourth Proportional to 110,651.56, 165,892.26 and 57,286.33

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Solution

The fourth proportional to 110,651.56, 165,892.26 and 57,286.33 is: 85,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,651.56 : 165,892.26 = 57,286.33 : x
  2. Step 2: Convert to fraction form
    110,651.56/165,892.26 = 57,286.33/x
  3. Step 3: Cross multiply
    110,651.56x = 165,892.26 × 57,286.33
  4. Step 4: Simplify right side
    110,651.56x = 9,503,358,550.90
  5. Step 5: Solve for x
    x = 9,503,358,550.90/110,651.56
  6. Step 6: Final answer
    x = 85,885.45

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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.