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Finding the Fourth Proportional to 209,181.08, 288,672.12 and 113,687.78

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Solution

The fourth proportional to 209,181.08, 288,672.12 and 113,687.78 is: 156,890.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,181.08 : 288,672.12 = 113,687.78 : x
  2. Step 2: Convert to fraction form
    209,181.08/288,672.12 = 113,687.78/x
  3. Step 3: Cross multiply
    209,181.08x = 288,672.12 × 113,687.78
  4. Step 4: Simplify right side
    209,181.08x = 32,818,491,027.33
  5. Step 5: Solve for x
    x = 32,818,491,027.33/209,181.08
  6. Step 6: Final answer
    x = 156,890.35

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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.