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Finding the Fourth Proportional to 209,080.49, 288,530.82 and 113,586.57

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Solution

The fourth proportional to 209,080.49, 288,530.82 and 113,586.57 is: 156,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,080.49 : 288,530.82 = 113,586.57 : x
  2. Step 2: Convert to fraction form
    209,080.49/288,530.82 = 113,586.57/x
  3. Step 3: Cross multiply
    209,080.49x = 288,530.82 × 113,586.57
  4. Step 4: Simplify right side
    209,080.49x = 32,773,226,183.09
  5. Step 5: Solve for x
    x = 32,773,226,183.09/209,080.49
  6. Step 6: Final answer
    x = 156,749.33

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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.