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Finding the Fourth Proportional to 299,238.50, 412,949.14 and 165,102.50

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Solution

The fourth proportional to 299,238.50, 412,949.14 and 165,102.50 is: 227,841.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,238.50 : 412,949.14 = 165,102.50 : x
  2. Step 2: Convert to fraction form
    299,238.50/412,949.14 = 165,102.50/x
  3. Step 3: Cross multiply
    299,238.50x = 412,949.14 × 165,102.50
  4. Step 4: Simplify right side
    299,238.50x = 68,178,935,386.85
  5. Step 5: Solve for x
    x = 68,178,935,386.85/299,238.50
  6. Step 6: Final answer
    x = 227,841.46

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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.