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Finding the Fourth Proportional to 299,298, 413,031.78 and 165,162

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Solution

The fourth proportional to 299,298, 413,031.78 and 165,162 is: 227,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,298 : 413,031.78 = 165,162 : x
  2. Step 2: Convert to fraction form
    299,298/413,031.78 = 165,162/x
  3. Step 3: Cross multiply
    299,298x = 413,031.78 × 165,162
  4. Step 4: Simplify right side
    299,298x = 68,217,154,848.36
  5. Step 5: Solve for x
    x = 68,217,154,848.36/299,298
  6. Step 6: Final answer
    x = 227,923.86

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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.