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Finding the Fourth Proportional to 222,397.90, 333,772.17 and 82,196.62

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Solution

The fourth proportional to 222,397.90, 333,772.17 and 82,196.62 is: 123,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,397.90 : 333,772.17 = 82,196.62 : x
  2. Step 2: Convert to fraction form
    222,397.90/333,772.17 = 82,196.62/x
  3. Step 3: Cross multiply
    222,397.90x = 333,772.17 × 82,196.62
  4. Step 4: Simplify right side
    222,397.90x = 27,434,944,224.07
  5. Step 5: Solve for x
    x = 27,434,944,224.07/222,397.90
  6. Step 6: Final answer
    x = 123,359.73

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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.