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Finding the Fourth Proportional to 277,223.89, 415,773.09 and 127,320.07

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Solution

The fourth proportional to 277,223.89, 415,773.09 and 127,320.07 is: 190,951.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,223.89 : 415,773.09 = 127,320.07 : x
  2. Step 2: Convert to fraction form
    277,223.89/415,773.09 = 127,320.07/x
  3. Step 3: Cross multiply
    277,223.89x = 415,773.09 × 127,320.07
  4. Step 4: Simplify right side
    277,223.89x = 52,936,258,922.92
  5. Step 5: Solve for x
    x = 52,936,258,922.92/277,223.89
  6. Step 6: Final answer
    x = 190,951.29

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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.