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Finding the Fourth Proportional to 172,910.38, 238,813.15 and 116,223.34

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Solution

The fourth proportional to 172,910.38, 238,813.15 and 116,223.34 is: 160,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,910.38 : 238,813.15 = 116,223.34 : x
  2. Step 2: Convert to fraction form
    172,910.38/238,813.15 = 116,223.34/x
  3. Step 3: Cross multiply
    172,910.38x = 238,813.15 × 116,223.34
  4. Step 4: Simplify right side
    172,910.38x = 27,755,661,928.92
  5. Step 5: Solve for x
    x = 27,755,661,928.92/172,910.38
  6. Step 6: Final answer
    x = 160,520.51

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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.