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Finding the Fourth Proportional to 275,263.52, 412,850.99 and 75,537.23

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Solution

The fourth proportional to 275,263.52, 412,850.99 and 75,537.23 is: 113,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,263.52 : 412,850.99 = 75,537.23 : x
  2. Step 2: Convert to fraction form
    275,263.52/412,850.99 = 75,537.23/x
  3. Step 3: Cross multiply
    275,263.52x = 412,850.99 × 75,537.23
  4. Step 4: Simplify right side
    275,263.52x = 31,185,618,311.95
  5. Step 5: Solve for x
    x = 31,185,618,311.95/275,263.52
  6. Step 6: Final answer
    x = 113,293.69

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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.