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Finding the Fourth Proportional to 222,274.38, 306,736.26 and 120,297.72

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Solution

The fourth proportional to 222,274.38, 306,736.26 and 120,297.72 is: 166,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,274.38 : 306,736.26 = 120,297.72 : x
  2. Step 2: Convert to fraction form
    222,274.38/306,736.26 = 120,297.72/x
  3. Step 3: Cross multiply
    222,274.38x = 306,736.26 × 120,297.72
  4. Step 4: Simplify right side
    222,274.38x = 36,899,672,719.33
  5. Step 5: Solve for x
    x = 36,899,672,719.33/222,274.38
  6. Step 6: Final answer
    x = 166,009.56

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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.