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Finding the Fourth Proportional to 202,102.25, 302,759.57 and 123,020.33

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Solution

The fourth proportional to 202,102.25, 302,759.57 and 123,020.33 is: 184,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,102.25 : 302,759.57 = 123,020.33 : x
  2. Step 2: Convert to fraction form
    202,102.25/302,759.57 = 123,020.33/x
  3. Step 3: Cross multiply
    202,102.25x = 302,759.57 × 123,020.33
  4. Step 4: Simplify right side
    202,102.25x = 37,245,580,083.16
  5. Step 5: Solve for x
    x = 37,245,580,083.16/202,102.25
  6. Step 6: Final answer
    x = 184,290.78

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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.