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Finding the Fourth Proportional to 180,697.20, 270,937.80 and 110,626.80

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Solution

The fourth proportional to 180,697.20, 270,937.80 and 110,626.80 is: 165,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,697.20 : 270,937.80 = 110,626.80 : x
  2. Step 2: Convert to fraction form
    180,697.20/270,937.80 = 110,626.80/x
  3. Step 3: Cross multiply
    180,697.20x = 270,937.80 × 110,626.80
  4. Step 4: Simplify right side
    180,697.20x = 29,972,981,813.04
  5. Step 5: Solve for x
    x = 29,972,981,813.04/180,697.20
  6. Step 6: Final answer
    x = 165,874.08

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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.