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Finding the Fourth Proportional to 251,273.25, 346,757.09 and 138,096

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Solution

The fourth proportional to 251,273.25, 346,757.09 and 138,096 is: 190,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,273.25 : 346,757.09 = 138,096 : x
  2. Step 2: Convert to fraction form
    251,273.25/346,757.09 = 138,096/x
  3. Step 3: Cross multiply
    251,273.25x = 346,757.09 × 138,096
  4. Step 4: Simplify right side
    251,273.25x = 47,885,766,410.16
  5. Step 5: Solve for x
    x = 47,885,766,410.16/251,273.25
  6. Step 6: Final answer
    x = 190,572.48

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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.