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Finding the Fourth Proportional to 251,375.96, 347,010.64 and 149,434.42

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Solution

The fourth proportional to 251,375.96, 347,010.64 and 149,434.42 is: 206,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,375.96 : 347,010.64 = 149,434.42 : x
  2. Step 2: Convert to fraction form
    251,375.96/347,010.64 = 149,434.42/x
  3. Step 3: Cross multiply
    251,375.96x = 347,010.64 × 149,434.42
  4. Step 4: Simplify right side
    251,375.96x = 51,855,334,182.47
  5. Step 5: Solve for x
    x = 51,855,334,182.47/251,375.96
  6. Step 6: Final answer
    x = 206,285.97

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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.