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Finding the Fourth Proportional to 110,272.20, 165,311.10 and 65,851.80

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Solution

The fourth proportional to 110,272.20, 165,311.10 and 65,851.80 is: 98,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,272.20 : 165,311.10 = 65,851.80 : x
  2. Step 2: Convert to fraction form
    110,272.20/165,311.10 = 65,851.80/x
  3. Step 3: Cross multiply
    110,272.20x = 165,311.10 × 65,851.80
  4. Step 4: Simplify right side
    110,272.20x = 10,886,033,494.98
  5. Step 5: Solve for x
    x = 10,886,033,494.98/110,272.20
  6. Step 6: Final answer
    x = 98,719.65

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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.