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Finding the Fourth Proportional to 202,024.75, 278,778.57 and 111,380.44

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Solution

The fourth proportional to 202,024.75, 278,778.57 and 111,380.44 is: 153,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,024.75 : 278,778.57 = 111,380.44 : x
  2. Step 2: Convert to fraction form
    202,024.75/278,778.57 = 111,380.44/x
  3. Step 3: Cross multiply
    202,024.75x = 278,778.57 × 111,380.44
  4. Step 4: Simplify right side
    202,024.75x = 31,050,479,789.17
  5. Step 5: Solve for x
    x = 31,050,479,789.17/202,024.75
  6. Step 6: Final answer
    x = 153,696.41

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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.