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Finding the Fourth Proportional to 217,838.40, 326,767.20 and 123,067.20

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Solution

The fourth proportional to 217,838.40, 326,767.20 and 123,067.20 is: 184,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,838.40 : 326,767.20 = 123,067.20 : x
  2. Step 2: Convert to fraction form
    217,838.40/326,767.20 = 123,067.20/x
  3. Step 3: Cross multiply
    217,838.40x = 326,767.20 × 123,067.20
  4. Step 4: Simplify right side
    217,838.40x = 40,214,324,355.84
  5. Step 5: Solve for x
    x = 40,214,324,355.84/217,838.40
  6. Step 6: Final answer
    x = 184,606.22

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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.