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Finding the Fourth Proportional to 222,664.94, 307,297.05 and 122,082.38

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Solution

The fourth proportional to 222,664.94, 307,297.05 and 122,082.38 is: 168,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,664.94 : 307,297.05 = 122,082.38 : x
  2. Step 2: Convert to fraction form
    222,664.94/307,297.05 = 122,082.38/x
  3. Step 3: Cross multiply
    222,664.94x = 307,297.05 × 122,082.38
  4. Step 4: Simplify right side
    222,664.94x = 37,515,555,230.98
  5. Step 5: Solve for x
    x = 37,515,555,230.98/222,664.94
  6. Step 6: Final answer
    x = 168,484.34

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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.