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Finding the Fourth Proportional to 294,770.38, 442,249.02 and 105,226.68

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Solution

The fourth proportional to 294,770.38, 442,249.02 and 105,226.68 is: 157,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,770.38 : 442,249.02 = 105,226.68 : x
  2. Step 2: Convert to fraction form
    294,770.38/442,249.02 = 105,226.68/x
  3. Step 3: Cross multiply
    294,770.38x = 442,249.02 × 105,226.68
  4. Step 4: Simplify right side
    294,770.38x = 46,536,396,107.85
  5. Step 5: Solve for x
    x = 46,536,396,107.85/294,770.38
  6. Step 6: Final answer
    x = 157,873.38

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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.