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Finding the Fourth Proportional to 206,274.49, 309,172.27 and 78,109.27

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Solution

The fourth proportional to 206,274.49, 309,172.27 and 78,109.27 is: 117,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,274.49 : 309,172.27 = 78,109.27 : x
  2. Step 2: Convert to fraction form
    206,274.49/309,172.27 = 78,109.27/x
  3. Step 3: Cross multiply
    206,274.49x = 309,172.27 × 78,109.27
  4. Step 4: Simplify right side
    206,274.49x = 24,149,220,313.94
  5. Step 5: Solve for x
    x = 24,149,220,313.94/206,274.49
  6. Step 6: Final answer
    x = 117,073.23

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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.