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Finding the Fourth Proportional to 110,542.67, 165,797.85 and 54,367.70

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Solution

The fourth proportional to 110,542.67, 165,797.85 and 54,367.70 is: 81,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,542.67 : 165,797.85 = 54,367.70 : x
  2. Step 2: Convert to fraction form
    110,542.67/165,797.85 = 54,367.70/x
  3. Step 3: Cross multiply
    110,542.67x = 165,797.85 × 54,367.70
  4. Step 4: Simplify right side
    110,542.67x = 9,014,047,769.45
  5. Step 5: Solve for x
    x = 9,014,047,769.45/110,542.67
  6. Step 6: Final answer
    x = 81,543.60

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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.