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Finding the Fourth Proportional to 275,311.92, 412,723.20 and 97,795.52

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Solution

The fourth proportional to 275,311.92, 412,723.20 and 97,795.52 is: 146,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,311.92 : 412,723.20 = 97,795.52 : x
  2. Step 2: Convert to fraction form
    275,311.92/412,723.20 = 97,795.52/x
  3. Step 3: Cross multiply
    275,311.92x = 412,723.20 × 97,795.52
  4. Step 4: Simplify right side
    275,311.92x = 40,362,479,960.06
  5. Step 5: Solve for x
    x = 40,362,479,960.06/275,311.92
  6. Step 6: Final answer
    x = 146,606.37

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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.