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Finding the Fourth Proportional to 199,808.39, 299,705.67 and 50,049.97

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Solution

The fourth proportional to 199,808.39, 299,705.67 and 50,049.97 is: 75,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,808.39 : 299,705.67 = 50,049.97 : x
  2. Step 2: Convert to fraction form
    199,808.39/299,705.67 = 50,049.97/x
  3. Step 3: Cross multiply
    199,808.39x = 299,705.67 × 50,049.97
  4. Step 4: Simplify right side
    199,808.39x = 15,000,258,043.55
  5. Step 5: Solve for x
    x = 15,000,258,043.55/199,808.39
  6. Step 6: Final answer
    x = 75,073.22

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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.