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Finding the Fourth Proportional to 209,071.82, 288,519.36 and 113,578.52

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Solution

The fourth proportional to 209,071.82, 288,519.36 and 113,578.52 is: 156,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,071.82 : 288,519.36 = 113,578.52 : x
  2. Step 2: Convert to fraction form
    209,071.82/288,519.36 = 113,578.52/x
  3. Step 3: Cross multiply
    209,071.82x = 288,519.36 × 113,578.52
  4. Step 4: Simplify right side
    209,071.82x = 32,769,601,900.15
  5. Step 5: Solve for x
    x = 32,769,601,900.15/209,071.82
  6. Step 6: Final answer
    x = 156,738.49

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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.