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Finding the Fourth Proportional to 276,872.97, 414,706.23 and 181,996.05

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Solution

The fourth proportional to 276,872.97, 414,706.23 and 181,996.05 is: 272,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,872.97 : 414,706.23 = 181,996.05 : x
  2. Step 2: Convert to fraction form
    276,872.97/414,706.23 = 181,996.05/x
  3. Step 3: Cross multiply
    276,872.97x = 414,706.23 × 181,996.05
  4. Step 4: Simplify right side
    276,872.97x = 75,474,895,770.39
  5. Step 5: Solve for x
    x = 75,474,895,770.39/276,872.97
  6. Step 6: Final answer
    x = 272,597.56

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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.