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Finding the Fourth Proportional to 275,198.14, 412,835.46 and 97,662.97

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Solution

The fourth proportional to 275,198.14, 412,835.46 and 97,662.97 is: 146,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,198.14 : 412,835.46 = 97,662.97 : x
  2. Step 2: Convert to fraction form
    275,198.14/412,835.46 = 97,662.97/x
  3. Step 3: Cross multiply
    275,198.14x = 412,835.46 × 97,662.97
  4. Step 4: Simplify right side
    275,198.14x = 40,318,737,144.92
  5. Step 5: Solve for x
    x = 40,318,737,144.92/275,198.14
  6. Step 6: Final answer
    x = 146,508.03

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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.