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Finding the Fourth Proportional to 84,198.68, 126,318.22 and 28,039.30

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Solution

The fourth proportional to 84,198.68, 126,318.22 and 28,039.30 is: 42,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,198.68 : 126,318.22 = 28,039.30 : x
  2. Step 2: Convert to fraction form
    84,198.68/126,318.22 = 28,039.30/x
  3. Step 3: Cross multiply
    84,198.68x = 126,318.22 × 28,039.30
  4. Step 4: Simplify right side
    84,198.68x = 3,541,874,466.05
  5. Step 5: Solve for x
    x = 3,541,874,466.05/84,198.68
  6. Step 6: Final answer
    x = 42,065.68

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