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Finding the Fourth Proportional to 273,826.73, 409,740.96 and 161,560.73

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Solution

The fourth proportional to 273,826.73, 409,740.96 and 161,560.73 is: 241,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,826.73 : 409,740.96 = 161,560.73 : x
  2. Step 2: Convert to fraction form
    273,826.73/409,740.96 = 161,560.73/x
  3. Step 3: Cross multiply
    273,826.73x = 409,740.96 × 161,560.73
  4. Step 4: Simplify right side
    273,826.73x = 66,198,050,238.71
  5. Step 5: Solve for x
    x = 66,198,050,238.71/273,826.73
  6. Step 6: Final answer
    x = 241,751.60

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Why These Related Problems?

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