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Finding the Fourth Proportional to 209,071.97, 288,519.66 and 113,578.75

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Solution

The fourth proportional to 209,071.97, 288,519.66 and 113,578.75 is: 156,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,071.97 : 288,519.66 = 113,578.75 : x
  2. Step 2: Convert to fraction form
    209,071.97/288,519.66 = 113,578.75/x
  3. Step 3: Cross multiply
    209,071.97x = 288,519.66 × 113,578.75
  4. Step 4: Simplify right side
    209,071.97x = 32,769,700,890.63
  5. Step 5: Solve for x
    x = 32,769,700,890.63/209,071.97
  6. Step 6: Final answer
    x = 156,738.85

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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.