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Finding the Fourth Proportional to 277,690.56, 416,449.60 and 100,174.48

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Solution

The fourth proportional to 277,690.56, 416,449.60 and 100,174.48 is: 150,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,690.56 : 416,449.60 = 100,174.48 : x
  2. Step 2: Convert to fraction form
    277,690.56/416,449.60 = 100,174.48/x
  3. Step 3: Cross multiply
    277,690.56x = 416,449.60 × 100,174.48
  4. Step 4: Simplify right side
    277,690.56x = 41,717,622,126.21
  5. Step 5: Solve for x
    x = 41,717,622,126.21/277,690.56
  6. Step 6: Final answer
    x = 150,230.61

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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.