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Finding the Fourth Proportional to 218,602.11, 327,817.19 and 106,249.41

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Solution

The fourth proportional to 218,602.11, 327,817.19 and 106,249.41 is: 159,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,602.11 : 327,817.19 = 106,249.41 : x
  2. Step 2: Convert to fraction form
    218,602.11/327,817.19 = 106,249.41/x
  3. Step 3: Cross multiply
    218,602.11x = 327,817.19 × 106,249.41
  4. Step 4: Simplify right side
    218,602.11x = 34,830,382,494.11
  5. Step 5: Solve for x
    x = 34,830,382,494.11/218,602.11
  6. Step 6: Final answer
    x = 159,332.33

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