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Finding the Fourth Proportional to 82,198, 113,451.36 and 53,467.60

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Solution

The fourth proportional to 82,198, 113,451.36 and 53,467.60 is: 73,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,198 : 113,451.36 = 53,467.60 : x
  2. Step 2: Convert to fraction form
    82,198/113,451.36 = 53,467.60/x
  3. Step 3: Cross multiply
    82,198x = 113,451.36 × 53,467.60
  4. Step 4: Simplify right side
    82,198x = 6,065,971,935.94
  5. Step 5: Solve for x
    x = 6,065,971,935.94/82,198
  6. Step 6: Final answer
    x = 73,797.07

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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.