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Finding the Fourth Proportional to 180,504.88, 270,596.50 and 85,676.56

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Solution

The fourth proportional to 180,504.88, 270,596.50 and 85,676.56 is: 128,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,504.88 : 270,596.50 = 85,676.56 : x
  2. Step 2: Convert to fraction form
    180,504.88/270,596.50 = 85,676.56/x
  3. Step 3: Cross multiply
    180,504.88x = 270,596.50 × 85,676.56
  4. Step 4: Simplify right side
    180,504.88x = 23,183,777,268.04
  5. Step 5: Solve for x
    x = 23,183,777,268.04/180,504.88
  6. Step 6: Final answer
    x = 128,438.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.