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Finding the Fourth Proportional to 250,727.70, 376,103.70 and 82,233.12

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Solution

The fourth proportional to 250,727.70, 376,103.70 and 82,233.12 is: 123,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,727.70 : 376,103.70 = 82,233.12 : x
  2. Step 2: Convert to fraction form
    250,727.70/376,103.70 = 82,233.12/x
  3. Step 3: Cross multiply
    250,727.70x = 376,103.70 × 82,233.12
  4. Step 4: Simplify right side
    250,727.70x = 30,928,178,975.78
  5. Step 5: Solve for x
    x = 30,928,178,975.78/250,727.70
  6. Step 6: Final answer
    x = 123,353.66

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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.