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Finding the Fourth Proportional to 251,872.16, 347,608.13 and 188,099.24

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Solution

The fourth proportional to 251,872.16, 347,608.13 and 188,099.24 is: 259,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,872.16 : 347,608.13 = 188,099.24 : x
  2. Step 2: Convert to fraction form
    251,872.16/347,608.13 = 188,099.24/x
  3. Step 3: Cross multiply
    251,872.16x = 347,608.13 × 188,099.24
  4. Step 4: Simplify right side
    251,872.16x = 65,384,822,392.28
  5. Step 5: Solve for x
    x = 65,384,822,392.28/251,872.16
  6. Step 6: Final answer
    x = 259,595.28

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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.