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Finding the Fourth Proportional to 257,451.75, 386,158.41 and 131,013

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Solution

The fourth proportional to 257,451.75, 386,158.41 and 131,013 is: 196,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,451.75 : 386,158.41 = 131,013 : x
  2. Step 2: Convert to fraction form
    257,451.75/386,158.41 = 131,013/x
  3. Step 3: Cross multiply
    257,451.75x = 386,158.41 × 131,013
  4. Step 4: Simplify right side
    257,451.75x = 50,591,771,769.33
  5. Step 5: Solve for x
    x = 50,591,771,769.33/257,451.75
  6. Step 6: Final answer
    x = 196,509.72

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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.