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Finding the Fourth Proportional to 258,307, 356,467.91 and 142,025.39

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Solution

The fourth proportional to 258,307, 356,467.91 and 142,025.39 is: 195,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,307 : 356,467.91 = 142,025.39 : x
  2. Step 2: Convert to fraction form
    258,307/356,467.91 = 142,025.39/x
  3. Step 3: Cross multiply
    258,307x = 356,467.91 × 142,025.39
  4. Step 4: Simplify right side
    258,307x = 50,627,493,940.23
  5. Step 5: Solve for x
    x = 50,627,493,940.23/258,307
  6. Step 6: Final answer
    x = 195,997.37

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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.