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Finding the Fourth Proportional to 139,046.33, 191,893.77 and 78,617.57

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Solution

The fourth proportional to 139,046.33, 191,893.77 and 78,617.57 is: 108,497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,046.33 : 191,893.77 = 78,617.57 : x
  2. Step 2: Convert to fraction form
    139,046.33/191,893.77 = 78,617.57/x
  3. Step 3: Cross multiply
    139,046.33x = 191,893.77 × 78,617.57
  4. Step 4: Simplify right side
    139,046.33x = 15,086,220,936.07
  5. Step 5: Solve for x
    x = 15,086,220,936.07/139,046.33
  6. Step 6: Final answer
    x = 108,497.80

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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.