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Finding the Fourth Proportional to 299,713.23, 413,632.87 and 163,767.85

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Solution

The fourth proportional to 299,713.23, 413,632.87 and 163,767.85 is: 226,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,713.23 : 413,632.87 = 163,767.85 : x
  2. Step 2: Convert to fraction form
    299,713.23/413,632.87 = 163,767.85/x
  3. Step 3: Cross multiply
    299,713.23x = 413,632.87 × 163,767.85
  4. Step 4: Simplify right side
    299,713.23x = 67,739,764,365.73
  5. Step 5: Solve for x
    x = 67,739,764,365.73/299,713.23
  6. Step 6: Final answer
    x = 226,015.26

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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.