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Finding the Fourth Proportional to 218,651.88, 327,448.83 and 106,053.27

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Solution

The fourth proportional to 218,651.88, 327,448.83 and 106,053.27 is: 158,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,651.88 : 327,448.83 = 106,053.27 : x
  2. Step 2: Convert to fraction form
    218,651.88/327,448.83 = 106,053.27/x
  3. Step 3: Cross multiply
    218,651.88x = 327,448.83 × 106,053.27
  4. Step 4: Simplify right side
    218,651.88x = 34,727,019,179.17
  5. Step 5: Solve for x
    x = 34,727,019,179.17/218,651.88
  6. Step 6: Final answer
    x = 158,823.33

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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.