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Finding the Fourth Proportional to 276,404.54, 414,605.44 and 107,941.98

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Solution

The fourth proportional to 276,404.54, 414,605.44 and 107,941.98 is: 161,912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,404.54 : 414,605.44 = 107,941.98 : x
  2. Step 2: Convert to fraction form
    276,404.54/414,605.44 = 107,941.98/x
  3. Step 3: Cross multiply
    276,404.54x = 414,605.44 × 107,941.98
  4. Step 4: Simplify right side
    276,404.54x = 44,753,332,112.37
  5. Step 5: Solve for x
    x = 44,753,332,112.37/276,404.54
  6. Step 6: Final answer
    x = 161,912.43

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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.