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Finding the Fourth Proportional to 222,862.33, 334,342.71 and 82,620.96

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Solution

The fourth proportional to 222,862.33, 334,342.71 and 82,620.96 is: 123,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,862.33 : 334,342.71 = 82,620.96 : x
  2. Step 2: Convert to fraction form
    222,862.33/334,342.71 = 82,620.96/x
  3. Step 3: Cross multiply
    222,862.33x = 334,342.71 × 82,620.96
  4. Step 4: Simplify right side
    222,862.33x = 27,623,715,669.20
  5. Step 5: Solve for x
    x = 27,623,715,669.20/222,862.33
  6. Step 6: Final answer
    x = 123,949.69

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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.