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Finding the Fourth Proportional to 189,067.80, 283,601.70 and 76,801.80

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Solution

The fourth proportional to 189,067.80, 283,601.70 and 76,801.80 is: 115,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,067.80 : 283,601.70 = 76,801.80 : x
  2. Step 2: Convert to fraction form
    189,067.80/283,601.70 = 76,801.80/x
  3. Step 3: Cross multiply
    189,067.80x = 283,601.70 × 76,801.80
  4. Step 4: Simplify right side
    189,067.80x = 21,781,121,043.06
  5. Step 5: Solve for x
    x = 21,781,121,043.06/189,067.80
  6. Step 6: Final answer
    x = 115,202.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.