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Finding the Fourth Proportional to 327,361.82, 491,063.48 and 102,731.11

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Solution

The fourth proportional to 327,361.82, 491,063.48 and 102,731.11 is: 154,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,361.82 : 491,063.48 = 102,731.11 : x
  2. Step 2: Convert to fraction form
    327,361.82/491,063.48 = 102,731.11/x
  3. Step 3: Cross multiply
    327,361.82x = 491,063.48 × 102,731.11
  4. Step 4: Simplify right side
    327,361.82x = 50,447,493,411.89
  5. Step 5: Solve for x
    x = 50,447,493,411.89/327,361.82
  6. Step 6: Final answer
    x = 154,103.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.