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Finding the Fourth Proportional to 125,815.71, 188,431.92 and 75,786.51

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Solution

The fourth proportional to 125,815.71, 188,431.92 and 75,786.51 is: 113,504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,815.71 : 188,431.92 = 75,786.51 : x
  2. Step 2: Convert to fraction form
    125,815.71/188,431.92 = 75,786.51/x
  3. Step 3: Cross multiply
    125,815.71x = 188,431.92 × 75,786.51
  4. Step 4: Simplify right side
    125,815.71x = 14,280,597,589.40
  5. Step 5: Solve for x
    x = 14,280,597,589.40/125,815.71
  6. Step 6: Final answer
    x = 113,504.09

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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.