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Finding the Fourth Proportional to 200,385.21, 300,610.49 and 95,168.64

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Solution

The fourth proportional to 200,385.21, 300,610.49 and 95,168.64 is: 142,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,385.21 : 300,610.49 = 95,168.64 : x
  2. Step 2: Convert to fraction form
    200,385.21/300,610.49 = 95,168.64/x
  3. Step 3: Cross multiply
    200,385.21x = 300,610.49 × 95,168.64
  4. Step 4: Simplify right side
    200,385.21x = 28,608,691,027.19
  5. Step 5: Solve for x
    x = 28,608,691,027.19/200,385.21
  6. Step 6: Final answer
    x = 142,768.48

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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.