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Finding the Fourth Proportional to 231,961.32, 320,101.14 and 136,474.14

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Solution

The fourth proportional to 231,961.32, 320,101.14 and 136,474.14 is: 188,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,961.32 : 320,101.14 = 136,474.14 : x
  2. Step 2: Convert to fraction form
    231,961.32/320,101.14 = 136,474.14/x
  3. Step 3: Cross multiply
    231,961.32x = 320,101.14 × 136,474.14
  4. Step 4: Simplify right side
    231,961.32x = 43,685,527,794.52
  5. Step 5: Solve for x
    x = 43,685,527,794.52/231,961.32
  6. Step 6: Final answer
    x = 188,331.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.