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Finding the Fourth Proportional to 222,696, 334,022.40 and 82,454.40

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Solution

The fourth proportional to 222,696, 334,022.40 and 82,454.40 is: 123,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,696 : 334,022.40 = 82,454.40 : x
  2. Step 2: Convert to fraction form
    222,696/334,022.40 = 82,454.40/x
  3. Step 3: Cross multiply
    222,696x = 334,022.40 × 82,454.40
  4. Step 4: Simplify right side
    222,696x = 27,541,616,578.56
  5. Step 5: Solve for x
    x = 27,541,616,578.56/222,696
  6. Step 6: Final answer
    x = 123,673.60

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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.