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Finding the Fourth Proportional to 237,016, 327,082.26 and 136,414

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Solution

The fourth proportional to 237,016, 327,082.26 and 136,414 is: 188,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,016 : 327,082.26 = 136,414 : x
  2. Step 2: Convert to fraction form
    237,016/327,082.26 = 136,414/x
  3. Step 3: Cross multiply
    237,016x = 327,082.26 × 136,414
  4. Step 4: Simplify right side
    237,016x = 44,618,599,415.64
  5. Step 5: Solve for x
    x = 44,618,599,415.64/237,016
  6. Step 6: Final answer
    x = 188,251.42

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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.