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Finding the Fourth Proportional to 273,734.46, 410,616.27 and 86,760.54

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Solution

The fourth proportional to 273,734.46, 410,616.27 and 86,760.54 is: 130,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,734.46 : 410,616.27 = 86,760.54 : x
  2. Step 2: Convert to fraction form
    273,734.46/410,616.27 = 86,760.54/x
  3. Step 3: Cross multiply
    273,734.46x = 410,616.27 × 86,760.54
  4. Step 4: Simplify right side
    273,734.46x = 35,625,289,317.99
  5. Step 5: Solve for x
    x = 35,625,289,317.99/273,734.46
  6. Step 6: Final answer
    x = 130,145.43

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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.