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Finding the Fourth Proportional to 200,399.10, 300,793.05 and 100,671.90

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Solution

The fourth proportional to 200,399.10, 300,793.05 and 100,671.90 is: 151,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,399.10 : 300,793.05 = 100,671.90 : x
  2. Step 2: Convert to fraction form
    200,399.10/300,793.05 = 100,671.90/x
  3. Step 3: Cross multiply
    200,399.10x = 300,793.05 × 100,671.90
  4. Step 4: Simplify right side
    200,399.10x = 30,281,407,850.30
  5. Step 5: Solve for x
    x = 30,281,407,850.30/200,399.10
  6. Step 6: Final answer
    x = 151,105.51

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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.