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Finding the Fourth Proportional to 274,083.55, 410,938.24 and 146,019

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Solution

The fourth proportional to 274,083.55, 410,938.24 and 146,019 is: 218,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,083.55 : 410,938.24 = 146,019 : x
  2. Step 2: Convert to fraction form
    274,083.55/410,938.24 = 146,019/x
  3. Step 3: Cross multiply
    274,083.55x = 410,938.24 × 146,019
  4. Step 4: Simplify right side
    274,083.55x = 60,004,790,866.56
  5. Step 5: Solve for x
    x = 60,004,790,866.56/274,083.55
  6. Step 6: Final answer
    x = 218,928.83

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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.