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Finding the Fourth Proportional to 209,442.87, 289,027.98 and 113,947.38

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Solution

The fourth proportional to 209,442.87, 289,027.98 and 113,947.38 is: 157,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,442.87 : 289,027.98 = 113,947.38 : x
  2. Step 2: Convert to fraction form
    209,442.87/289,027.98 = 113,947.38/x
  3. Step 3: Cross multiply
    209,442.87x = 289,027.98 × 113,947.38
  4. Step 4: Simplify right side
    209,442.87x = 32,933,981,067.69
  5. Step 5: Solve for x
    x = 32,933,981,067.69/209,442.87
  6. Step 6: Final answer
    x = 157,245.65

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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.