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Finding the Fourth Proportional to 110,493.80, 165,740.70 and 51,309.80

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Solution

The fourth proportional to 110,493.80, 165,740.70 and 51,309.80 is: 76,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,493.80 : 165,740.70 = 51,309.80 : x
  2. Step 2: Convert to fraction form
    110,493.80/165,740.70 = 51,309.80/x
  3. Step 3: Cross multiply
    110,493.80x = 165,740.70 × 51,309.80
  4. Step 4: Simplify right side
    110,493.80x = 8,504,122,168.86
  5. Step 5: Solve for x
    x = 8,504,122,168.86/110,493.80
  6. Step 6: Final answer
    x = 76,964.70

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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.