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Finding the Fourth Proportional to 209,046.32, 288,469.65 and 113,550.96

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Solution

The fourth proportional to 209,046.32, 288,469.65 and 113,550.96 is: 156,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,046.32 : 288,469.65 = 113,550.96 : x
  2. Step 2: Convert to fraction form
    209,046.32/288,469.65 = 113,550.96/x
  3. Step 3: Cross multiply
    209,046.32x = 288,469.65 × 113,550.96
  4. Step 4: Simplify right side
    209,046.32x = 32,756,007,195.94
  5. Step 5: Solve for x
    x = 32,756,007,195.94/209,046.32
  6. Step 6: Final answer
    x = 156,692.58

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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.