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Finding the Fourth Proportional to 85,441.83, 117,053.36 and 82,247.28

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Solution

The fourth proportional to 85,441.83, 117,053.36 and 82,247.28 is: 112,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,441.83 : 117,053.36 = 82,247.28 : x
  2. Step 2: Convert to fraction form
    85,441.83/117,053.36 = 82,247.28/x
  3. Step 3: Cross multiply
    85,441.83x = 117,053.36 × 82,247.28
  4. Step 4: Simplify right side
    85,441.83x = 9,627,320,474.86
  5. Step 5: Solve for x
    x = 9,627,320,474.86/85,441.83
  6. Step 6: Final answer
    x = 112,676.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.