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Finding the Fourth Proportional to 299,137, 412,838.22 and 165,001

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Solution

The fourth proportional to 299,137, 412,838.22 and 165,001 is: 227,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,137 : 412,838.22 = 165,001 : x
  2. Step 2: Convert to fraction form
    299,137/412,838.22 = 165,001/x
  3. Step 3: Cross multiply
    299,137x = 412,838.22 × 165,001
  4. Step 4: Simplify right side
    299,137x = 68,118,719,138.22
  5. Step 5: Solve for x
    x = 68,118,719,138.22/299,137
  6. Step 6: Final answer
    x = 227,717.46

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