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Finding the Fourth Proportional to 277,691.31, 416,450.81 and 100,175.16

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Solution

The fourth proportional to 277,691.31, 416,450.81 and 100,175.16 is: 150,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,691.31 : 416,450.81 = 100,175.16 : x
  2. Step 2: Convert to fraction form
    277,691.31/416,450.81 = 100,175.16/x
  3. Step 3: Cross multiply
    277,691.31x = 416,450.81 × 100,175.16
  4. Step 4: Simplify right side
    277,691.31x = 41,718,026,023.00
  5. Step 5: Solve for x
    x = 41,718,026,023.00/277,691.31
  6. Step 6: Final answer
    x = 150,231.66

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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.