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Finding the Fourth Proportional to 201,027.54, 277,418.38 and 116,144.66

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Solution

The fourth proportional to 201,027.54, 277,418.38 and 116,144.66 is: 160,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,027.54 : 277,418.38 = 116,144.66 : x
  2. Step 2: Convert to fraction form
    201,027.54/277,418.38 = 116,144.66/x
  3. Step 3: Cross multiply
    201,027.54x = 277,418.38 × 116,144.66
  4. Step 4: Simplify right side
    201,027.54x = 32,220,663,422.85
  5. Step 5: Solve for x
    x = 32,220,663,422.85/201,027.54
  6. Step 6: Final answer
    x = 160,279.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.