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Finding the Fourth Proportional to 133,287.64, 199,943.99 and 49,049.42

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Solution

The fourth proportional to 133,287.64, 199,943.99 and 49,049.42 is: 73,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,287.64 : 199,943.99 = 49,049.42 : x
  2. Step 2: Convert to fraction form
    133,287.64/199,943.99 = 49,049.42/x
  3. Step 3: Cross multiply
    133,287.64x = 199,943.99 × 49,049.42
  4. Step 4: Simplify right side
    133,287.64x = 9,807,135,956.86
  5. Step 5: Solve for x
    x = 9,807,135,956.86/133,287.64
  6. Step 6: Final answer
    x = 73,578.73

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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.