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Finding the Fourth Proportional to 212,223.75, 292,910.38 and 121,640.44

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Solution

The fourth proportional to 212,223.75, 292,910.38 and 121,640.44 is: 167,887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,223.75 : 292,910.38 = 121,640.44 : x
  2. Step 2: Convert to fraction form
    212,223.75/292,910.38 = 121,640.44/x
  3. Step 3: Cross multiply
    212,223.75x = 292,910.38 × 121,640.44
  4. Step 4: Simplify right side
    212,223.75x = 35,629,746,467.39
  5. Step 5: Solve for x
    x = 35,629,746,467.39/212,223.75
  6. Step 6: Final answer
    x = 167,887.65

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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.