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Finding the Fourth Proportional to 277,659.75, 416,174.78 and 127,589.96

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Solution

The fourth proportional to 277,659.75, 416,174.78 and 127,589.96 is: 191,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,659.75 : 416,174.78 = 127,589.96 : x
  2. Step 2: Convert to fraction form
    277,659.75/416,174.78 = 127,589.96/x
  3. Step 3: Cross multiply
    277,659.75x = 416,174.78 × 127,589.96
  4. Step 4: Simplify right side
    277,659.75x = 53,099,720,814.39
  5. Step 5: Solve for x
    x = 53,099,720,814.39/277,659.75
  6. Step 6: Final answer
    x = 191,240.25

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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.