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Finding the Fourth Proportional to 275,195.98, 412,794.42 and 75,519.10

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Solution

The fourth proportional to 275,195.98, 412,794.42 and 75,519.10 is: 113,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,195.98 : 412,794.42 = 75,519.10 : x
  2. Step 2: Convert to fraction form
    275,195.98/412,794.42 = 75,519.10/x
  3. Step 3: Cross multiply
    275,195.98x = 412,794.42 × 75,519.10
  4. Step 4: Simplify right side
    275,195.98x = 31,173,863,083.42
  5. Step 5: Solve for x
    x = 31,173,863,083.42/275,195.98
  6. Step 6: Final answer
    x = 113,278.77

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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.