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Finding the Fourth Proportional to 252,103.75, 347,906.82 and 138,926.50

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Solution

The fourth proportional to 252,103.75, 347,906.82 and 138,926.50 is: 191,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,103.75 : 347,906.82 = 138,926.50 : x
  2. Step 2: Convert to fraction form
    252,103.75/347,906.82 = 138,926.50/x
  3. Step 3: Cross multiply
    252,103.75x = 347,906.82 × 138,926.50
  4. Step 4: Simplify right side
    252,103.75x = 48,333,476,828.73
  5. Step 5: Solve for x
    x = 48,333,476,828.73/252,103.75
  6. Step 6: Final answer
    x = 191,720.58

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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.