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Finding the Fourth Proportional to 214,578.68, 321,795.12 and 74,304.50

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Solution

The fourth proportional to 214,578.68, 321,795.12 and 74,304.50 is: 111,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,578.68 : 321,795.12 = 74,304.50 : x
  2. Step 2: Convert to fraction form
    214,578.68/321,795.12 = 74,304.50/x
  3. Step 3: Cross multiply
    214,578.68x = 321,795.12 × 74,304.50
  4. Step 4: Simplify right side
    214,578.68x = 23,910,825,494.04
  5. Step 5: Solve for x
    x = 23,910,825,494.04/214,578.68
  6. Step 6: Final answer
    x = 111,431.51

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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.