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Finding the Fourth Proportional to 253,196.66, 379,738.49 and 75,680.60

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Solution

The fourth proportional to 253,196.66, 379,738.49 and 75,680.60 is: 113,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,196.66 : 379,738.49 = 75,680.60 : x
  2. Step 2: Convert to fraction form
    253,196.66/379,738.49 = 75,680.60/x
  3. Step 3: Cross multiply
    253,196.66x = 379,738.49 × 75,680.60
  4. Step 4: Simplify right side
    253,196.66x = 28,738,836,766.29
  5. Step 5: Solve for x
    x = 28,738,836,766.29/253,196.66
  6. Step 6: Final answer
    x = 113,504.01

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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.