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Finding the Fourth Proportional to 179,721, 248,014.98 and 100,233

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Solution

The fourth proportional to 179,721, 248,014.98 and 100,233 is: 138,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,721 : 248,014.98 = 100,233 : x
  2. Step 2: Convert to fraction form
    179,721/248,014.98 = 100,233/x
  3. Step 3: Cross multiply
    179,721x = 248,014.98 × 100,233
  4. Step 4: Simplify right side
    179,721x = 24,859,285,490.34
  5. Step 5: Solve for x
    x = 24,859,285,490.34/179,721
  6. Step 6: Final answer
    x = 138,321.54

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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.