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Finding the Fourth Proportional to 135,198.74, 202,826.69 and 50,957.12

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Solution

The fourth proportional to 135,198.74, 202,826.69 and 50,957.12 is: 76,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,198.74 : 202,826.69 = 50,957.12 : x
  2. Step 2: Convert to fraction form
    135,198.74/202,826.69 = 50,957.12/x
  3. Step 3: Cross multiply
    135,198.74x = 202,826.69 × 50,957.12
  4. Step 4: Simplify right side
    135,198.74x = 10,335,463,981.53
  5. Step 5: Solve for x
    x = 10,335,463,981.53/135,198.74
  6. Step 6: Final answer
    x = 76,446.45

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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.