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Finding the Fourth Proportional to 299,046.78, 412,694.46 and 163,088.13

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Solution

The fourth proportional to 299,046.78, 412,694.46 and 163,088.13 is: 225,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,046.78 : 412,694.46 = 163,088.13 : x
  2. Step 2: Convert to fraction form
    299,046.78/412,694.46 = 163,088.13/x
  3. Step 3: Cross multiply
    299,046.78x = 412,694.46 × 163,088.13
  4. Step 4: Simplify right side
    299,046.78x = 67,305,567,742.76
  5. Step 5: Solve for x
    x = 67,305,567,742.76/299,046.78
  6. Step 6: Final answer
    x = 225,067.02

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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.