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Finding the Fourth Proportional to 275,902.07, 413,849 and 76,218.03

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Solution

The fourth proportional to 275,902.07, 413,849 and 76,218.03 is: 114,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,902.07 : 413,849 = 76,218.03 : x
  2. Step 2: Convert to fraction form
    275,902.07/413,849 = 76,218.03/x
  3. Step 3: Cross multiply
    275,902.07x = 413,849 × 76,218.03
  4. Step 4: Simplify right side
    275,902.07x = 31,542,755,497.47
  5. Step 5: Solve for x
    x = 31,542,755,497.47/275,902.07
  6. Step 6: Final answer
    x = 114,325.91

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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.