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Finding the Fourth Proportional to 82,198.86, 113,434.59 and 45,900.12

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Solution

The fourth proportional to 82,198.86, 113,434.59 and 45,900.12 is: 63,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,198.86 : 113,434.59 = 45,900.12 : x
  2. Step 2: Convert to fraction form
    82,198.86/113,434.59 = 45,900.12/x
  3. Step 3: Cross multiply
    82,198.86x = 113,434.59 × 45,900.12
  4. Step 4: Simplify right side
    82,198.86x = 5,206,661,293.15
  5. Step 5: Solve for x
    x = 5,206,661,293.15/82,198.86
  6. Step 6: Final answer
    x = 63,342.26

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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.