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Finding the Fourth Proportional to 141,991.38, 195,947.01 and 78,331.86

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Solution

The fourth proportional to 141,991.38, 195,947.01 and 78,331.86 is: 108,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,991.38 : 195,947.01 = 78,331.86 : x
  2. Step 2: Convert to fraction form
    141,991.38/195,947.01 = 78,331.86/x
  3. Step 3: Cross multiply
    141,991.38x = 195,947.01 × 78,331.86
  4. Step 4: Simplify right side
    141,991.38x = 15,348,893,754.74
  5. Step 5: Solve for x
    x = 15,348,893,754.74/141,991.38
  6. Step 6: Final answer
    x = 108,097.36

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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.