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Finding the Fourth Proportional to 273,464.10, 410,194.33 and 147,163.77

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Solution

The fourth proportional to 273,464.10, 410,194.33 and 147,163.77 is: 220,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,464.10 : 410,194.33 = 147,163.77 : x
  2. Step 2: Convert to fraction form
    273,464.10/410,194.33 = 147,163.77/x
  3. Step 3: Cross multiply
    273,464.10x = 410,194.33 × 147,163.77
  4. Step 4: Simplify right side
    273,464.10x = 60,365,743,667.51
  5. Step 5: Solve for x
    x = 60,365,743,667.51/273,464.10
  6. Step 6: Final answer
    x = 220,744.67

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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.