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Finding the Fourth Proportional to 252,097.88, 347,902.49 and 138,927.92

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Solution

The fourth proportional to 252,097.88, 347,902.49 and 138,927.92 is: 191,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,097.88 : 347,902.49 = 138,927.92 : x
  2. Step 2: Convert to fraction form
    252,097.88/347,902.49 = 138,927.92/x
  3. Step 3: Cross multiply
    252,097.88x = 347,902.49 × 138,927.92
  4. Step 4: Simplify right side
    252,097.88x = 48,333,367,906.33
  5. Step 5: Solve for x
    x = 48,333,367,906.33/252,097.88
  6. Step 6: Final answer
    x = 191,724.61

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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.