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Finding the Fourth Proportional to 216,194.43, 324,308.93 and 75,984.51

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Solution

The fourth proportional to 216,194.43, 324,308.93 and 75,984.51 is: 113,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,194.43 : 324,308.93 = 75,984.51 : x
  2. Step 2: Convert to fraction form
    216,194.43/324,308.93 = 75,984.51/x
  3. Step 3: Cross multiply
    216,194.43x = 324,308.93 × 75,984.51
  4. Step 4: Simplify right side
    216,194.43x = 24,642,454,754.75
  5. Step 5: Solve for x
    x = 24,642,454,754.75/216,194.43
  6. Step 6: Final answer
    x = 113,982.84

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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.