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Finding the Fourth Proportional to 299,233.50, 412,942.23 and 165,097.50

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Solution

The fourth proportional to 299,233.50, 412,942.23 and 165,097.50 is: 227,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,233.50 : 412,942.23 = 165,097.50 : x
  2. Step 2: Convert to fraction form
    299,233.50/412,942.23 = 165,097.50/x
  3. Step 3: Cross multiply
    299,233.50x = 412,942.23 × 165,097.50
  4. Step 4: Simplify right side
    299,233.50x = 68,175,729,817.43
  5. Step 5: Solve for x
    x = 68,175,729,817.43/299,233.50
  6. Step 6: Final answer
    x = 227,834.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.