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Finding the Fourth Proportional to 251,467.51, 347,018.61 and 149,493.17

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Solution

The fourth proportional to 251,467.51, 347,018.61 and 149,493.17 is: 206,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,467.51 : 347,018.61 = 149,493.17 : x
  2. Step 2: Convert to fraction form
    251,467.51/347,018.61 = 149,493.17/x
  3. Step 3: Cross multiply
    251,467.51x = 347,018.61 × 149,493.17
  4. Step 4: Simplify right side
    251,467.51x = 51,876,912,057.89
  5. Step 5: Solve for x
    x = 51,876,912,057.89/251,467.51
  6. Step 6: Final answer
    x = 206,296.68

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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.