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Finding the Fourth Proportional to 206,508.44, 309,855.58 and 111,627.52

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Solution

The fourth proportional to 206,508.44, 309,855.58 and 111,627.52 is: 167,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,508.44 : 309,855.58 = 111,627.52 : x
  2. Step 2: Convert to fraction form
    206,508.44/309,855.58 = 111,627.52/x
  3. Step 3: Cross multiply
    206,508.44x = 309,855.58 × 111,627.52
  4. Step 4: Simplify right side
    206,508.44x = 34,588,408,899.85
  5. Step 5: Solve for x
    x = 34,588,408,899.85/206,508.44
  6. Step 6: Final answer
    x = 167,491.51

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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.