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Finding the Fourth Proportional to 205,408.53, 308,107.94 and 53,603.19

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Solution

The fourth proportional to 205,408.53, 308,107.94 and 53,603.19 is: 80,403.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,408.53 : 308,107.94 = 53,603.19 : x
  2. Step 2: Convert to fraction form
    205,408.53/308,107.94 = 53,603.19/x
  3. Step 3: Cross multiply
    205,408.53x = 308,107.94 × 53,603.19
  4. Step 4: Simplify right side
    205,408.53x = 16,515,568,180.31
  5. Step 5: Solve for x
    x = 16,515,568,180.31/205,408.53
  6. Step 6: Final answer
    x = 80,403.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.