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Finding the Fourth Proportional to 275,119.35, 412,738.43 and 85,576.11

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Solution

The fourth proportional to 275,119.35, 412,738.43 and 85,576.11 is: 128,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,119.35 : 412,738.43 = 85,576.11 : x
  2. Step 2: Convert to fraction form
    275,119.35/412,738.43 = 85,576.11/x
  3. Step 3: Cross multiply
    275,119.35x = 412,738.43 × 85,576.11
  4. Step 4: Simplify right side
    275,119.35x = 35,320,548,859.03
  5. Step 5: Solve for x
    x = 35,320,548,859.03/275,119.35
  6. Step 6: Final answer
    x = 128,382.64

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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.