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Finding the Fourth Proportional to 202,000.87, 278,757.79 and 110,121.15

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Solution

The fourth proportional to 202,000.87, 278,757.79 and 110,121.15 is: 151,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,000.87 : 278,757.79 = 110,121.15 : x
  2. Step 2: Convert to fraction form
    202,000.87/278,757.79 = 110,121.15/x
  3. Step 3: Cross multiply
    202,000.87x = 278,757.79 × 110,121.15
  4. Step 4: Simplify right side
    202,000.87x = 30,697,129,176.30
  5. Step 5: Solve for x
    x = 30,697,129,176.30/202,000.87
  6. Step 6: Final answer
    x = 151,965.33

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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.