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Finding the Fourth Proportional to 178,736.94, 268,105.17 and 45,617.19

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Solution

The fourth proportional to 178,736.94, 268,105.17 and 45,617.19 is: 68,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,736.94 : 268,105.17 = 45,617.19 : x
  2. Step 2: Convert to fraction form
    178,736.94/268,105.17 = 45,617.19/x
  3. Step 3: Cross multiply
    178,736.94x = 268,105.17 × 45,617.19
  4. Step 4: Simplify right side
    178,736.94x = 12,230,205,334.27
  5. Step 5: Solve for x
    x = 12,230,205,334.27/178,736.94
  6. Step 6: Final answer
    x = 68,425.73

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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.