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Finding the Fourth Proportional to 275,233.41, 412,850.52 and 75,556.26

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Solution

The fourth proportional to 275,233.41, 412,850.52 and 75,556.26 is: 113,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,233.41 : 412,850.52 = 75,556.26 : x
  2. Step 2: Convert to fraction form
    275,233.41/412,850.52 = 75,556.26/x
  3. Step 3: Cross multiply
    275,233.41x = 412,850.52 × 75,556.26
  4. Step 4: Simplify right side
    275,233.41x = 31,193,441,230.26
  5. Step 5: Solve for x
    x = 31,193,441,230.26/275,233.41
  6. Step 6: Final answer
    x = 113,334.50

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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.