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Finding the Fourth Proportional to 327,361.25, 491,062.63 and 102,730.54

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Solution

The fourth proportional to 327,361.25, 491,062.63 and 102,730.54 is: 154,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,361.25 : 491,062.63 = 102,730.54 : x
  2. Step 2: Convert to fraction form
    327,361.25/491,062.63 = 102,730.54/x
  3. Step 3: Cross multiply
    327,361.25x = 491,062.63 × 102,730.54
  4. Step 4: Simplify right side
    327,361.25x = 50,447,129,410.55
  5. Step 5: Solve for x
    x = 50,447,129,410.55/327,361.25
  6. Step 6: Final answer
    x = 154,102.33

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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.