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Finding the Fourth Proportional to 85,441.45, 117,052.84 and 82,246.90

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Solution

The fourth proportional to 85,441.45, 117,052.84 and 82,246.90 is: 112,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,441.45 : 117,052.84 = 82,246.90 : x
  2. Step 2: Convert to fraction form
    85,441.45/117,052.84 = 82,246.90/x
  3. Step 3: Cross multiply
    85,441.45x = 117,052.84 × 82,246.90
  4. Step 4: Simplify right side
    85,441.45x = 9,627,233,226.20
  5. Step 5: Solve for x
    x = 9,627,233,226.20/85,441.45
  6. Step 6: Final answer
    x = 112,676.38

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Why These Related Problems?

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