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Finding the Fourth Proportional to 275,364.38, 412,806 and 106,768.56

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Solution

The fourth proportional to 275,364.38, 412,806 and 106,768.56 is: 160,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,364.38 : 412,806 = 106,768.56 : x
  2. Step 2: Convert to fraction form
    275,364.38/412,806 = 106,768.56/x
  3. Step 3: Cross multiply
    275,364.38x = 412,806 × 106,768.56
  4. Step 4: Simplify right side
    275,364.38x = 44,074,702,179.36
  5. Step 5: Solve for x
    x = 44,074,702,179.36/275,364.38
  6. Step 6: Final answer
    x = 160,059.56

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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.