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Finding the Fourth Proportional to 222,717, 334,069.02 and 82,472.52

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Solution

The fourth proportional to 222,717, 334,069.02 and 82,472.52 is: 123,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,717 : 334,069.02 = 82,472.52 : x
  2. Step 2: Convert to fraction form
    222,717/334,069.02 = 82,472.52/x
  3. Step 3: Cross multiply
    222,717x = 334,069.02 × 82,472.52
  4. Step 4: Simplify right side
    222,717x = 27,551,513,933.33
  5. Step 5: Solve for x
    x = 27,551,513,933.33/222,717
  6. Step 6: Final answer
    x = 123,706.38

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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.