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Finding the Fourth Proportional to 110,738.20, 166,107.30 and 75,746.20

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Solution

The fourth proportional to 110,738.20, 166,107.30 and 75,746.20 is: 113,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,738.20 : 166,107.30 = 75,746.20 : x
  2. Step 2: Convert to fraction form
    110,738.20/166,107.30 = 75,746.20/x
  3. Step 3: Cross multiply
    110,738.20x = 166,107.30 × 75,746.20
  4. Step 4: Simplify right side
    110,738.20x = 12,581,996,767.26
  5. Step 5: Solve for x
    x = 12,581,996,767.26/110,738.20
  6. Step 6: Final answer
    x = 113,619.30

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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.