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Finding the Fourth Proportional to 140,553.45, 193,965.17 and 76,893.93

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Solution

The fourth proportional to 140,553.45, 193,965.17 and 76,893.93 is: 106,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,553.45 : 193,965.17 = 76,893.93 : x
  2. Step 2: Convert to fraction form
    140,553.45/193,965.17 = 76,893.93/x
  3. Step 3: Cross multiply
    140,553.45x = 193,965.17 × 76,893.93
  4. Step 4: Simplify right side
    140,553.45x = 14,914,743,819.95
  5. Step 5: Solve for x
    x = 14,914,743,819.95/140,553.45
  6. Step 6: Final answer
    x = 106,114.39

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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.