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Finding the Fourth Proportional to 277,704.39, 416,470.47 and 100,188.33

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Solution

The fourth proportional to 277,704.39, 416,470.47 and 100,188.33 is: 150,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,704.39 : 416,470.47 = 100,188.33 : x
  2. Step 2: Convert to fraction form
    277,704.39/416,470.47 = 100,188.33/x
  3. Step 3: Cross multiply
    277,704.39x = 416,470.47 × 100,188.33
  4. Step 4: Simplify right side
    277,704.39x = 41,725,480,883.62
  5. Step 5: Solve for x
    x = 41,725,480,883.62/277,704.39
  6. Step 6: Final answer
    x = 150,251.43

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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.