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Finding the Fourth Proportional to 200,138.20, 300,181.38 and 75,463

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Solution

The fourth proportional to 200,138.20, 300,181.38 and 75,463 is: 113,184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,138.20 : 300,181.38 = 75,463 : x
  2. Step 2: Convert to fraction form
    200,138.20/300,181.38 = 75,463/x
  3. Step 3: Cross multiply
    200,138.20x = 300,181.38 × 75,463
  4. Step 4: Simplify right side
    200,138.20x = 22,652,587,478.94
  5. Step 5: Solve for x
    x = 22,652,587,478.94/200,138.20
  6. Step 6: Final answer
    x = 113,184.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.