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Finding the Fourth Proportional to 110,999.20, 166,498.80 and 98,168.80

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Solution

The fourth proportional to 110,999.20, 166,498.80 and 98,168.80 is: 147,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,999.20 : 166,498.80 = 98,168.80 : x
  2. Step 2: Convert to fraction form
    110,999.20/166,498.80 = 98,168.80/x
  3. Step 3: Cross multiply
    110,999.20x = 166,498.80 × 98,168.80
  4. Step 4: Simplify right side
    110,999.20x = 16,344,987,397.44
  5. Step 5: Solve for x
    x = 16,344,987,397.44/110,999.20
  6. Step 6: Final answer
    x = 147,253.20

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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.