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Finding the Fourth Proportional to 110,209.80, 165,314.70 and 82,216.20

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Solution

The fourth proportional to 110,209.80, 165,314.70 and 82,216.20 is: 123,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,209.80 : 165,314.70 = 82,216.20 : x
  2. Step 2: Convert to fraction form
    110,209.80/165,314.70 = 82,216.20/x
  3. Step 3: Cross multiply
    110,209.80x = 165,314.70 × 82,216.20
  4. Step 4: Simplify right side
    110,209.80x = 13,591,546,438.14
  5. Step 5: Solve for x
    x = 13,591,546,438.14/110,209.80
  6. Step 6: Final answer
    x = 123,324.30

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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.