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Finding the Fourth Proportional to 201,906.38, 302,524.76 and 122,781.26

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Solution

The fourth proportional to 201,906.38, 302,524.76 and 122,781.26 is: 183,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906.38 : 302,524.76 = 122,781.26 : x
  2. Step 2: Convert to fraction form
    201,906.38/302,524.76 = 122,781.26/x
  3. Step 3: Cross multiply
    201,906.38x = 302,524.76 × 122,781.26
  4. Step 4: Simplify right side
    201,906.38x = 37,144,371,214.00
  5. Step 5: Solve for x
    x = 37,144,371,214.00/201,906.38
  6. Step 6: Final answer
    x = 183,968.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.