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Finding the Fourth Proportional to 138,906.20, 208,067.70 and 115,578.20

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Solution

The fourth proportional to 138,906.20, 208,067.70 and 115,578.20 is: 173,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,906.20 : 208,067.70 = 115,578.20 : x
  2. Step 2: Convert to fraction form
    138,906.20/208,067.70 = 115,578.20/x
  3. Step 3: Cross multiply
    138,906.20x = 208,067.70 × 115,578.20
  4. Step 4: Simplify right side
    138,906.20x = 24,048,090,244.14
  5. Step 5: Solve for x
    x = 24,048,090,244.14/138,906.20
  6. Step 6: Final answer
    x = 173,124.67

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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.