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Finding the Fourth Proportional to 313,198.20, 432,214.65 and 169,958.24

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Solution

The fourth proportional to 313,198.20, 432,214.65 and 169,958.24 is: 234,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,198.20 : 432,214.65 = 169,958.24 : x
  2. Step 2: Convert to fraction form
    313,198.20/432,214.65 = 169,958.24/x
  3. Step 3: Cross multiply
    313,198.20x = 432,214.65 × 169,958.24
  4. Step 4: Simplify right side
    313,198.20x = 73,458,441,216.22
  5. Step 5: Solve for x
    x = 73,458,441,216.22/313,198.20
  6. Step 6: Final answer
    x = 234,542.99

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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.