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Finding the Fourth Proportional to 222,331.38, 306,847.89 and 136,341.78

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Solution

The fourth proportional to 222,331.38, 306,847.89 and 136,341.78 is: 188,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,331.38 : 306,847.89 = 136,341.78 : x
  2. Step 2: Convert to fraction form
    222,331.38/306,847.89 = 136,341.78/x
  3. Step 3: Cross multiply
    222,331.38x = 306,847.89 × 136,341.78
  4. Step 4: Simplify right side
    222,331.38x = 41,836,187,511.84
  5. Step 5: Solve for x
    x = 41,836,187,511.84/222,331.38
  6. Step 6: Final answer
    x = 188,170.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.