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Finding the Fourth Proportional to 221,963.56, 306,239.92 and 135,832.75

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Solution

The fourth proportional to 221,963.56, 306,239.92 and 135,832.75 is: 187,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,963.56 : 306,239.92 = 135,832.75 : x
  2. Step 2: Convert to fraction form
    221,963.56/306,239.92 = 135,832.75/x
  3. Step 3: Cross multiply
    221,963.56x = 306,239.92 × 135,832.75
  4. Step 4: Simplify right side
    221,963.56x = 41,597,410,493.38
  5. Step 5: Solve for x
    x = 41,597,410,493.38/221,963.56
  6. Step 6: Final answer
    x = 187,406.48

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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.