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Finding the Fourth Proportional to 205,908.30, 284,153.56 and 115,264.44

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Solution

The fourth proportional to 205,908.30, 284,153.56 and 115,264.44 is: 159,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,908.30 : 284,153.56 = 115,264.44 : x
  2. Step 2: Convert to fraction form
    205,908.30/284,153.56 = 115,264.44/x
  3. Step 3: Cross multiply
    205,908.30x = 284,153.56 × 115,264.44
  4. Step 4: Simplify right side
    205,908.30x = 32,752,799,546.64
  5. Step 5: Solve for x
    x = 32,752,799,546.64/205,908.30
  6. Step 6: Final answer
    x = 159,064.98

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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.