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Finding the Fourth Proportional to 140,092.09, 193,319.21 and 79,677.43

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Solution

The fourth proportional to 140,092.09, 193,319.21 and 79,677.43 is: 109,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,092.09 : 193,319.21 = 79,677.43 : x
  2. Step 2: Convert to fraction form
    140,092.09/193,319.21 = 79,677.43/x
  3. Step 3: Cross multiply
    140,092.09x = 193,319.21 × 79,677.43
  4. Step 4: Simplify right side
    140,092.09x = 15,403,178,625.75
  5. Step 5: Solve for x
    x = 15,403,178,625.75/140,092.09
  6. Step 6: Final answer
    x = 109,950.38

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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.