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Finding the Fourth Proportional to 202,923.82, 280,147.58 and 122,371.75

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Solution

The fourth proportional to 202,923.82, 280,147.58 and 122,371.75 is: 168,940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,923.82 : 280,147.58 = 122,371.75 : x
  2. Step 2: Convert to fraction form
    202,923.82/280,147.58 = 122,371.75/x
  3. Step 3: Cross multiply
    202,923.82x = 280,147.58 × 122,371.75
  4. Step 4: Simplify right side
    202,923.82x = 34,282,149,622.87
  5. Step 5: Solve for x
    x = 34,282,149,622.87/202,923.82
  6. Step 6: Final answer
    x = 168,940.98

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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.