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Finding the Fourth Proportional to 202,183.86, 303,334.11 and 83,833.14

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Solution

The fourth proportional to 202,183.86, 303,334.11 and 83,833.14 is: 125,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,183.86 : 303,334.11 = 83,833.14 : x
  2. Step 2: Convert to fraction form
    202,183.86/303,334.11 = 83,833.14/x
  3. Step 3: Cross multiply
    202,183.86x = 303,334.11 × 83,833.14
  4. Step 4: Simplify right side
    202,183.86x = 25,429,450,910.41
  5. Step 5: Solve for x
    x = 25,429,450,910.41/202,183.86
  6. Step 6: Final answer
    x = 125,773.89

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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.