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Finding the Fourth Proportional to 135,196.53, 202,685.41 and 82,588.24

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Solution

The fourth proportional to 135,196.53, 202,685.41 and 82,588.24 is: 123,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,196.53 : 202,685.41 = 82,588.24 : x
  2. Step 2: Convert to fraction form
    135,196.53/202,685.41 = 82,588.24/x
  3. Step 3: Cross multiply
    135,196.53x = 202,685.41 × 82,588.24
  4. Step 4: Simplify right side
    135,196.53x = 16,739,431,285.58
  5. Step 5: Solve for x
    x = 16,739,431,285.58/135,196.53
  6. Step 6: Final answer
    x = 123,815.54

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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.