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Finding the Fourth Proportional to 276,744.78, 414,839.79 and 108,033.12

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Solution

The fourth proportional to 276,744.78, 414,839.79 and 108,033.12 is: 161,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,744.78 : 414,839.79 = 108,033.12 : x
  2. Step 2: Convert to fraction form
    276,744.78/414,839.79 = 108,033.12/x
  3. Step 3: Cross multiply
    276,744.78x = 414,839.79 × 108,033.12
  4. Step 4: Simplify right side
    276,744.78x = 44,816,436,813.84
  5. Step 5: Solve for x
    x = 44,816,436,813.84/276,744.78
  6. Step 6: Final answer
    x = 161,941.40

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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.