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Finding the Fourth Proportional to 209,086.30, 288,537.55 and 113,593.78

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Solution

The fourth proportional to 209,086.30, 288,537.55 and 113,593.78 is: 156,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,086.30 : 288,537.55 = 113,593.78 : x
  2. Step 2: Convert to fraction form
    209,086.30/288,537.55 = 113,593.78/x
  3. Step 3: Cross multiply
    209,086.30x = 288,537.55 × 113,593.78
  4. Step 4: Simplify right side
    209,086.30x = 32,776,070,976.44
  5. Step 5: Solve for x
    x = 32,776,070,976.44/209,086.30
  6. Step 6: Final answer
    x = 156,758.58

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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.