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Finding the Fourth Proportional to 142,078.39, 196,067.21 and 78,416.18

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Solution

The fourth proportional to 142,078.39, 196,067.21 and 78,416.18 is: 108,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,078.39 : 196,067.21 = 78,416.18 : x
  2. Step 2: Convert to fraction form
    142,078.39/196,067.21 = 78,416.18/x
  3. Step 3: Cross multiply
    142,078.39x = 196,067.21 × 78,416.18
  4. Step 4: Simplify right side
    142,078.39x = 15,374,841,729.54
  5. Step 5: Solve for x
    x = 15,374,841,729.54/142,078.39
  6. Step 6: Final answer
    x = 108,213.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.