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Finding the Fourth Proportional to 135,309.96, 202,984.38 and 41,823

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Solution

The fourth proportional to 135,309.96, 202,984.38 and 41,823 is: 62,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,309.96 : 202,984.38 = 41,823 : x
  2. Step 2: Convert to fraction form
    135,309.96/202,984.38 = 41,823/x
  3. Step 3: Cross multiply
    135,309.96x = 202,984.38 × 41,823
  4. Step 4: Simplify right side
    135,309.96x = 8,489,415,724.74
  5. Step 5: Solve for x
    x = 8,489,415,724.74/135,309.96
  6. Step 6: Final answer
    x = 62,740.51

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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.