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Finding the Fourth Proportional to 225,889.61, 338,168.66 and 197,864.42

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Solution

The fourth proportional to 225,889.61, 338,168.66 and 197,864.42 is: 296,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,889.61 : 338,168.66 = 197,864.42 : x
  2. Step 2: Convert to fraction form
    225,889.61/338,168.66 = 197,864.42/x
  3. Step 3: Cross multiply
    225,889.61x = 338,168.66 × 197,864.42
  4. Step 4: Simplify right side
    225,889.61x = 66,911,543,092.91
  5. Step 5: Solve for x
    x = 66,911,543,092.91/225,889.61
  6. Step 6: Final answer
    x = 296,213.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.