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Finding the Fourth Proportional to 149,150.98, 205,826.17 and 82,082.98

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Solution

The fourth proportional to 149,150.98, 205,826.17 and 82,082.98 is: 113,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,150.98 : 205,826.17 = 82,082.98 : x
  2. Step 2: Convert to fraction form
    149,150.98/205,826.17 = 82,082.98/x
  3. Step 3: Cross multiply
    149,150.98x = 205,826.17 × 82,082.98
  4. Step 4: Simplify right side
    149,150.98x = 16,894,825,395.59
  5. Step 5: Solve for x
    x = 16,894,825,395.59/149,150.98
  6. Step 6: Final answer
    x = 113,273.31

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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.