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Finding the Fourth Proportional to 202,155.30, 303,190.43 and 102,221.55

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Solution

The fourth proportional to 202,155.30, 303,190.43 and 102,221.55 is: 153,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,155.30 : 303,190.43 = 102,221.55 : x
  2. Step 2: Convert to fraction form
    202,155.30/303,190.43 = 102,221.55/x
  3. Step 3: Cross multiply
    202,155.30x = 303,190.43 × 102,221.55
  4. Step 4: Simplify right side
    202,155.30x = 30,992,595,188.66
  5. Step 5: Solve for x
    x = 30,992,595,188.66/202,155.30
  6. Step 6: Final answer
    x = 153,310.82

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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.