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Finding the Fourth Proportional to 182,006.44, 251,414.22 and 165,029.92

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Solution

The fourth proportional to 182,006.44, 251,414.22 and 165,029.92 is: 227,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,006.44 : 251,414.22 = 165,029.92 : x
  2. Step 2: Convert to fraction form
    182,006.44/251,414.22 = 165,029.92/x
  3. Step 3: Cross multiply
    182,006.44x = 251,414.22 × 165,029.92
  4. Step 4: Simplify right side
    182,006.44x = 41,490,868,613.46
  5. Step 5: Solve for x
    x = 41,490,868,613.46/182,006.44
  6. Step 6: Final answer
    x = 227,963.74

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1.5x scale

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.