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Finding the Fourth Proportional to 222,198, 306,633.24 and 121,596

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Solution

The fourth proportional to 222,198, 306,633.24 and 121,596 is: 167,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,198 : 306,633.24 = 121,596 : x
  2. Step 2: Convert to fraction form
    222,198/306,633.24 = 121,596/x
  3. Step 3: Cross multiply
    222,198x = 306,633.24 × 121,596
  4. Step 4: Simplify right side
    222,198x = 37,285,375,451.04
  5. Step 5: Solve for x
    x = 37,285,375,451.04/222,198
  6. Step 6: Final answer
    x = 167,802.48

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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.