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Finding the Fourth Proportional to 199,951.92, 299,920.32 and 50,193.36

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Solution

The fourth proportional to 199,951.92, 299,920.32 and 50,193.36 is: 75,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,951.92 : 299,920.32 = 50,193.36 : x
  2. Step 2: Convert to fraction form
    199,951.92/299,920.32 = 50,193.36/x
  3. Step 3: Cross multiply
    199,951.92x = 299,920.32 × 50,193.36
  4. Step 4: Simplify right side
    199,951.92x = 15,054,008,593.08
  5. Step 5: Solve for x
    x = 15,054,008,593.08/199,951.92
  6. Step 6: Final answer
    x = 75,288.14

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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.