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Finding the Fourth Proportional to 277,691.56, 416,451.10 and 100,175.48

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Solution

The fourth proportional to 277,691.56, 416,451.10 and 100,175.48 is: 150,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,691.56 : 416,451.10 = 100,175.48 : x
  2. Step 2: Convert to fraction form
    277,691.56/416,451.10 = 100,175.48/x
  3. Step 3: Cross multiply
    277,691.56x = 416,451.10 × 100,175.48
  4. Step 4: Simplify right side
    277,691.56x = 41,718,188,839.03
  5. Step 5: Solve for x
    x = 41,718,188,839.03/277,691.56
  6. Step 6: Final answer
    x = 150,232.11

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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.