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Finding the Fourth Proportional to 149,419.68, 206,198.56 and 82,351.68

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Solution

The fourth proportional to 149,419.68, 206,198.56 and 82,351.68 is: 113,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,419.68 : 206,198.56 = 82,351.68 : x
  2. Step 2: Convert to fraction form
    149,419.68/206,198.56 = 82,351.68/x
  3. Step 3: Cross multiply
    149,419.68x = 206,198.56 × 82,351.68
  4. Step 4: Simplify right side
    149,419.68x = 16,980,797,829.58
  5. Step 5: Solve for x
    x = 16,980,797,829.58/149,419.68
  6. Step 6: Final answer
    x = 113,644.99

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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.