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Finding the Fourth Proportional to 110,741.70, 166,112.55 and 81,217.20

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Solution

The fourth proportional to 110,741.70, 166,112.55 and 81,217.20 is: 121,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,741.70 : 166,112.55 = 81,217.20 : x
  2. Step 2: Convert to fraction form
    110,741.70/166,112.55 = 81,217.20/x
  3. Step 3: Cross multiply
    110,741.70x = 166,112.55 × 81,217.20
  4. Step 4: Simplify right side
    110,741.70x = 13,491,196,195.86
  5. Step 5: Solve for x
    x = 13,491,196,195.86/110,741.70
  6. Step 6: Final answer
    x = 121,825.80

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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.