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Finding the Fourth Proportional to 205,765.07, 283,944.20 and 113,879.34

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Solution

The fourth proportional to 205,765.07, 283,944.20 and 113,879.34 is: 157,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,765.07 : 283,944.20 = 113,879.34 : x
  2. Step 2: Convert to fraction form
    205,765.07/283,944.20 = 113,879.34/x
  3. Step 3: Cross multiply
    205,765.07x = 283,944.20 × 113,879.34
  4. Step 4: Simplify right side
    205,765.07x = 32,335,377,523.43
  5. Step 5: Solve for x
    x = 32,335,377,523.43/205,765.07
  6. Step 6: Final answer
    x = 157,147.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.