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Finding the Fourth Proportional to 299,151.77, 412,837.22 and 163,188

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Solution

The fourth proportional to 299,151.77, 412,837.22 and 163,188 is: 225,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,151.77 : 412,837.22 = 163,188 : x
  2. Step 2: Convert to fraction form
    299,151.77/412,837.22 = 163,188/x
  3. Step 3: Cross multiply
    299,151.77x = 412,837.22 × 163,188
  4. Step 4: Simplify right side
    299,151.77x = 67,370,080,665.33
  5. Step 5: Solve for x
    x = 67,370,080,665.33/299,151.77
  6. Step 6: Final answer
    x = 225,203.69

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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.