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Finding the Fourth Proportional to 80,198.44, 120,297.12 and 62,683

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Solution

The fourth proportional to 80,198.44, 120,297.12 and 62,683 is: 94,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,198.44 : 120,297.12 = 62,683 : x
  2. Step 2: Convert to fraction form
    80,198.44/120,297.12 = 62,683/x
  3. Step 3: Cross multiply
    80,198.44x = 120,297.12 × 62,683
  4. Step 4: Simplify right side
    80,198.44x = 7,540,584,372.96
  5. Step 5: Solve for x
    x = 7,540,584,372.96/80,198.44
  6. Step 6: Final answer
    x = 94,024.08

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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.