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Finding the Fourth Proportional to 251,894.16, 347,638.50 and 188,121.24

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Solution

The fourth proportional to 251,894.16, 347,638.50 and 188,121.24 is: 259,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,894.16 : 347,638.50 = 188,121.24 : x
  2. Step 2: Convert to fraction form
    251,894.16/347,638.50 = 188,121.24/x
  3. Step 3: Cross multiply
    251,894.16x = 347,638.50 × 188,121.24
  4. Step 4: Simplify right side
    251,894.16x = 65,398,185,691.74
  5. Step 5: Solve for x
    x = 65,398,185,691.74/251,894.16
  6. Step 6: Final answer
    x = 259,625.65

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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.