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Finding the Fourth Proportional to 206,408.20, 309,612.30 and 127,676.20

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Solution

The fourth proportional to 206,408.20, 309,612.30 and 127,676.20 is: 191,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,408.20 : 309,612.30 = 127,676.20 : x
  2. Step 2: Convert to fraction form
    206,408.20/309,612.30 = 127,676.20/x
  3. Step 3: Cross multiply
    206,408.20x = 309,612.30 × 127,676.20
  4. Step 4: Simplify right side
    206,408.20x = 39,530,121,937.26
  5. Step 5: Solve for x
    x = 39,530,121,937.26/206,408.20
  6. Step 6: Final answer
    x = 191,514.30

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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.