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Finding the Fourth Proportional to 275,408.56, 412,996.20 and 97,960.24

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Solution

The fourth proportional to 275,408.56, 412,996.20 and 97,960.24 is: 146,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,408.56 : 412,996.20 = 97,960.24 : x
  2. Step 2: Convert to fraction form
    275,408.56/412,996.20 = 97,960.24/x
  3. Step 3: Cross multiply
    275,408.56x = 412,996.20 × 97,960.24
  4. Step 4: Simplify right side
    275,408.56x = 40,457,206,871.09
  5. Step 5: Solve for x
    x = 40,457,206,871.09/275,408.56
  6. Step 6: Final answer
    x = 146,898.87

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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.