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Finding the Fourth Proportional to 299,162.16, 412,844.94 and 163,198.98

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Solution

The fourth proportional to 299,162.16, 412,844.94 and 163,198.98 is: 225,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,162.16 : 412,844.94 = 163,198.98 : x
  2. Step 2: Convert to fraction form
    299,162.16/412,844.94 = 163,198.98/x
  3. Step 3: Cross multiply
    299,162.16x = 412,844.94 × 163,198.98
  4. Step 4: Simplify right side
    299,162.16x = 67,375,873,106.16
  5. Step 5: Solve for x
    x = 67,375,873,106.16/299,162.16
  6. Step 6: Final answer
    x = 225,215.22

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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.