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Finding the Fourth Proportional to 209,286.24, 288,813.50 and 113,793

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Solution

The fourth proportional to 209,286.24, 288,813.50 and 113,793 is: 157,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,286.24 : 288,813.50 = 113,793 : x
  2. Step 2: Convert to fraction form
    209,286.24/288,813.50 = 113,793/x
  3. Step 3: Cross multiply
    209,286.24x = 288,813.50 × 113,793
  4. Step 4: Simplify right side
    209,286.24x = 32,864,954,605.50
  5. Step 5: Solve for x
    x = 32,864,954,605.50/209,286.24
  6. Step 6: Final answer
    x = 157,033.52

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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.