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Finding the Fourth Proportional to 275,785.52, 413,576.12 and 98,245.36

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Solution

The fourth proportional to 275,785.52, 413,576.12 and 98,245.36 is: 147,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,785.52 : 413,576.12 = 98,245.36 : x
  2. Step 2: Convert to fraction form
    275,785.52/413,576.12 = 98,245.36/x
  3. Step 3: Cross multiply
    275,785.52x = 413,576.12 × 98,245.36
  4. Step 4: Simplify right side
    275,785.52x = 40,631,934,796.80
  5. Step 5: Solve for x
    x = 40,631,934,796.80/275,785.52
  6. Step 6: Final answer
    x = 147,331.65

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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.