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Finding the Fourth Proportional to 110,333.80, 165,500.70 and 51,149.80

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Solution

The fourth proportional to 110,333.80, 165,500.70 and 51,149.80 is: 76,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,333.80 : 165,500.70 = 51,149.80 : x
  2. Step 2: Convert to fraction form
    110,333.80/165,500.70 = 51,149.80/x
  3. Step 3: Cross multiply
    110,333.80x = 165,500.70 × 51,149.80
  4. Step 4: Simplify right side
    110,333.80x = 8,465,327,704.86
  5. Step 5: Solve for x
    x = 8,465,327,704.86/110,333.80
  6. Step 6: Final answer
    x = 76,724.70

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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.