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Finding the Fourth Proportional to 282,481.46, 389,892.27 and 161,692.76

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Solution

The fourth proportional to 282,481.46, 389,892.27 and 161,692.76 is: 223,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,481.46 : 389,892.27 = 161,692.76 : x
  2. Step 2: Convert to fraction form
    282,481.46/389,892.27 = 161,692.76/x
  3. Step 3: Cross multiply
    282,481.46x = 389,892.27 × 161,692.76
  4. Step 4: Simplify right side
    282,481.46x = 63,042,757,238.97
  5. Step 5: Solve for x
    x = 63,042,757,238.97/282,481.46
  6. Step 6: Final answer
    x = 223,174.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.