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Finding the Fourth Proportional to 183,910.89, 275,972.97 and 77,286.45

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Solution

The fourth proportional to 183,910.89, 275,972.97 and 77,286.45 is: 115,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,910.89 : 275,972.97 = 77,286.45 : x
  2. Step 2: Convert to fraction form
    183,910.89/275,972.97 = 77,286.45/x
  3. Step 3: Cross multiply
    183,910.89x = 275,972.97 × 77,286.45
  4. Step 4: Simplify right side
    183,910.89x = 21,328,971,147.26
  5. Step 5: Solve for x
    x = 21,328,971,147.26/183,910.89
  6. Step 6: Final answer
    x = 115,974.49

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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.