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Finding the Fourth Proportional to 142,025.58, 195,999.41 and 78,367.48

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Solution

The fourth proportional to 142,025.58, 195,999.41 and 78,367.48 is: 108,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,025.58 : 195,999.41 = 78,367.48 : x
  2. Step 2: Convert to fraction form
    142,025.58/195,999.41 = 78,367.48/x
  3. Step 3: Cross multiply
    142,025.58x = 195,999.41 × 78,367.48
  4. Step 4: Simplify right side
    142,025.58x = 15,359,978,471.35
  5. Step 5: Solve for x
    x = 15,359,978,471.35/142,025.58
  6. Step 6: Final answer
    x = 108,149.38

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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.