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Finding the Fourth Proportional to 299,302, 413,037.30 and 165,166

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Solution

The fourth proportional to 299,302, 413,037.30 and 165,166 is: 227,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,302 : 413,037.30 = 165,166 : x
  2. Step 2: Convert to fraction form
    299,302/413,037.30 = 165,166/x
  3. Step 3: Cross multiply
    299,302x = 413,037.30 × 165,166
  4. Step 4: Simplify right side
    299,302x = 68,219,718,691.80
  5. Step 5: Solve for x
    x = 68,219,718,691.80/299,302
  6. Step 6: Final answer
    x = 227,929.38

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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.