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Finding the Fourth Proportional to 178,959.73, 268,441.73 and 45,836.44

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Solution

The fourth proportional to 178,959.73, 268,441.73 and 45,836.44 is: 68,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,959.73 : 268,441.73 = 45,836.44 : x
  2. Step 2: Convert to fraction form
    178,959.73/268,441.73 = 45,836.44/x
  3. Step 3: Cross multiply
    178,959.73x = 268,441.73 × 45,836.44
  4. Step 4: Simplify right side
    178,959.73x = 12,304,413,250.64
  5. Step 5: Solve for x
    x = 12,304,413,250.64/178,959.73
  6. Step 6: Final answer
    x = 68,755.21

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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.