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Finding the Fourth Proportional to 200,647.44, 300,983.40 and 67,516.44

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Solution

The fourth proportional to 200,647.44, 300,983.40 and 67,516.44 is: 101,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,647.44 : 300,983.40 = 67,516.44 : x
  2. Step 2: Convert to fraction form
    200,647.44/300,983.40 = 67,516.44/x
  3. Step 3: Cross multiply
    200,647.44x = 300,983.40 × 67,516.44
  4. Step 4: Simplify right side
    200,647.44x = 20,321,327,667.10
  5. Step 5: Solve for x
    x = 20,321,327,667.10/200,647.44
  6. Step 6: Final answer
    x = 101,278.78

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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.