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Finding the Fourth Proportional to 194,614.44, 268,568.34 and 105,190.44

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Solution

The fourth proportional to 194,614.44, 268,568.34 and 105,190.44 is: 145,163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,614.44 : 268,568.34 = 105,190.44 : x
  2. Step 2: Convert to fraction form
    194,614.44/268,568.34 = 105,190.44/x
  3. Step 3: Cross multiply
    194,614.44x = 268,568.34 × 105,190.44
  4. Step 4: Simplify right side
    194,614.44x = 28,250,821,854.67
  5. Step 5: Solve for x
    x = 28,250,821,854.67/194,614.44
  6. Step 6: Final answer
    x = 145,163.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.