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Finding the Fourth Proportional to 281,744.66, 422,685.84 and 82,061.84

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Solution

The fourth proportional to 281,744.66, 422,685.84 and 82,061.84 is: 123,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,744.66 : 422,685.84 = 82,061.84 : x
  2. Step 2: Convert to fraction form
    281,744.66/422,685.84 = 82,061.84/x
  3. Step 3: Cross multiply
    281,744.66x = 422,685.84 × 82,061.84
  4. Step 4: Simplify right side
    281,744.66x = 34,686,377,772.35
  5. Step 5: Solve for x
    x = 34,686,377,772.35/281,744.66
  6. Step 6: Final answer
    x = 123,112.81

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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.