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Finding the Fourth Proportional to 274,172.44, 411,292.50 and 133,825

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Solution

The fourth proportional to 274,172.44, 411,292.50 and 133,825 is: 200,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,172.44 : 411,292.50 = 133,825 : x
  2. Step 2: Convert to fraction form
    274,172.44/411,292.50 = 133,825/x
  3. Step 3: Cross multiply
    274,172.44x = 411,292.50 × 133,825
  4. Step 4: Simplify right side
    274,172.44x = 55,041,218,812.50
  5. Step 5: Solve for x
    x = 55,041,218,812.50/274,172.44
  6. Step 6: Final answer
    x = 200,754.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.