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Finding the Fourth Proportional to 141,793.80, 195,684.16 and 78,131.58

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Solution

The fourth proportional to 141,793.80, 195,684.16 and 78,131.58 is: 107,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,793.80 : 195,684.16 = 78,131.58 : x
  2. Step 2: Convert to fraction form
    141,793.80/195,684.16 = 78,131.58/x
  3. Step 3: Cross multiply
    141,793.80x = 195,684.16 × 78,131.58
  4. Step 4: Simplify right side
    141,793.80x = 15,289,112,601.77
  5. Step 5: Solve for x
    x = 15,289,112,601.77/141,793.80
  6. Step 6: Final answer
    x = 107,826.38

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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.