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Finding the Fourth Proportional to 217,270.80, 325,906.20 and 141,163.20

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Solution

The fourth proportional to 217,270.80, 325,906.20 and 141,163.20 is: 211,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,270.80 : 325,906.20 = 141,163.20 : x
  2. Step 2: Convert to fraction form
    217,270.80/325,906.20 = 141,163.20/x
  3. Step 3: Cross multiply
    217,270.80x = 325,906.20 × 141,163.20
  4. Step 4: Simplify right side
    217,270.80x = 46,005,962,091.84
  5. Step 5: Solve for x
    x = 46,005,962,091.84/217,270.80
  6. Step 6: Final answer
    x = 211,744.80

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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.