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Finding the Fourth Proportional to 205,868.88, 284,100.48 and 115,233.21

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Solution

The fourth proportional to 205,868.88, 284,100.48 and 115,233.21 is: 159,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,868.88 : 284,100.48 = 115,233.21 : x
  2. Step 2: Convert to fraction form
    205,868.88/284,100.48 = 115,233.21/x
  3. Step 3: Cross multiply
    205,868.88x = 284,100.48 × 115,233.21
  4. Step 4: Simplify right side
    205,868.88x = 32,737,810,272.94
  5. Step 5: Solve for x
    x = 32,737,810,272.94/205,868.88
  6. Step 6: Final answer
    x = 159,022.63

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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.