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Finding the Fourth Proportional to 200,249.58, 300,199.41 and 100,269.66

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Solution

The fourth proportional to 200,249.58, 300,199.41 and 100,269.66 is: 150,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,249.58 : 300,199.41 = 100,269.66 : x
  2. Step 2: Convert to fraction form
    200,249.58/300,199.41 = 100,269.66/x
  3. Step 3: Cross multiply
    200,249.58x = 300,199.41 × 100,269.66
  4. Step 4: Simplify right side
    200,249.58x = 30,100,892,772.90
  5. Step 5: Solve for x
    x = 30,100,892,772.90/200,249.58
  6. Step 6: Final answer
    x = 150,316.88

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1.5x scale

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.