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Finding the Fourth Proportional to 273,049.26, 409,758.42 and 95,557.83

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Solution

The fourth proportional to 273,049.26, 409,758.42 and 95,557.83 is: 143,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,049.26 : 409,758.42 = 95,557.83 : x
  2. Step 2: Convert to fraction form
    273,049.26/409,758.42 = 95,557.83/x
  3. Step 3: Cross multiply
    273,049.26x = 409,758.42 × 95,557.83
  4. Step 4: Simplify right side
    273,049.26x = 39,155,625,439.43
  5. Step 5: Solve for x
    x = 39,155,625,439.43/273,049.26
  6. Step 6: Final answer
    x = 143,401.32

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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.