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Finding the Fourth Proportional to 209,214.28, 313,426.14 and 161,910.28

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Solution

The fourth proportional to 209,214.28, 313,426.14 and 161,910.28 is: 242,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,214.28 : 313,426.14 = 161,910.28 : x
  2. Step 2: Convert to fraction form
    209,214.28/313,426.14 = 161,910.28/x
  3. Step 3: Cross multiply
    209,214.28x = 313,426.14 × 161,910.28
  4. Step 4: Simplify right side
    209,214.28x = 50,746,914,086.72
  5. Step 5: Solve for x
    x = 50,746,914,086.72/209,214.28
  6. Step 6: Final answer
    x = 242,559.51

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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.