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Finding the Fourth Proportional to 90,186.54, 135,211.50 and 54,640.50

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Solution

The fourth proportional to 90,186.54, 135,211.50 and 54,640.50 is: 81,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,186.54 : 135,211.50 = 54,640.50 : x
  2. Step 2: Convert to fraction form
    90,186.54/135,211.50 = 54,640.50/x
  3. Step 3: Cross multiply
    90,186.54x = 135,211.50 × 54,640.50
  4. Step 4: Simplify right side
    90,186.54x = 7,388,023,965.75
  5. Step 5: Solve for x
    x = 7,388,023,965.75/90,186.54
  6. Step 6: Final answer
    x = 81,919.36

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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.