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Finding the Fourth Proportional to 110,514.78, 165,772.20 and 27,408.78

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Solution

The fourth proportional to 110,514.78, 165,772.20 and 27,408.78 is: 41,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,514.78 : 165,772.20 = 27,408.78 : x
  2. Step 2: Convert to fraction form
    110,514.78/165,772.20 = 27,408.78/x
  3. Step 3: Cross multiply
    110,514.78x = 165,772.20 × 27,408.78
  4. Step 4: Simplify right side
    110,514.78x = 4,543,613,759.92
  5. Step 5: Solve for x
    x = 4,543,613,759.92/110,514.78
  6. Step 6: Final answer
    x = 41,113.18

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1.5x scale

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.