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Finding the Fourth Proportional to 275,896.69, 413,852.84 and 76,217.11

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Solution

The fourth proportional to 275,896.69, 413,852.84 and 76,217.11 is: 114,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,896.69 : 413,852.84 = 76,217.11 : x
  2. Step 2: Convert to fraction form
    275,896.69/413,852.84 = 76,217.11/x
  3. Step 3: Cross multiply
    275,896.69x = 413,852.84 × 76,217.11
  4. Step 4: Simplify right side
    275,896.69x = 31,542,667,049.01
  5. Step 5: Solve for x
    x = 31,542,667,049.01/275,896.69
  6. Step 6: Final answer
    x = 114,327.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.