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Finding the Fourth Proportional to 222,843, 307,523.40 and 122,241

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Solution

The fourth proportional to 222,843, 307,523.40 and 122,241 is: 168,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,843 : 307,523.40 = 122,241 : x
  2. Step 2: Convert to fraction form
    222,843/307,523.40 = 122,241/x
  3. Step 3: Cross multiply
    222,843x = 307,523.40 × 122,241
  4. Step 4: Simplify right side
    222,843x = 37,591,967,939.40
  5. Step 5: Solve for x
    x = 37,591,967,939.40/222,843
  6. Step 6: Final answer
    x = 168,692.61

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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.