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Finding the Fourth Proportional to 209,479.96, 289,077.62 and 113,986.92

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Solution

The fourth proportional to 209,479.96, 289,077.62 and 113,986.92 is: 157,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,479.96 : 289,077.62 = 113,986.92 : x
  2. Step 2: Convert to fraction form
    209,479.96/289,077.62 = 113,986.92/x
  3. Step 3: Cross multiply
    209,479.96x = 289,077.62 × 113,986.92
  4. Step 4: Simplify right side
    209,479.96x = 32,951,067,544.73
  5. Step 5: Solve for x
    x = 32,951,067,544.73/209,479.96
  6. Step 6: Final answer
    x = 157,299.38

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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.