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Finding the Fourth Proportional to 163,853.43, 245,793.49 and 45,524.78

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Solution

The fourth proportional to 163,853.43, 245,793.49 and 45,524.78 is: 68,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,853.43 : 245,793.49 = 45,524.78 : x
  2. Step 2: Convert to fraction form
    163,853.43/245,793.49 = 45,524.78/x
  3. Step 3: Cross multiply
    163,853.43x = 245,793.49 × 45,524.78
  4. Step 4: Simplify right side
    163,853.43x = 11,189,695,519.22
  5. Step 5: Solve for x
    x = 11,189,695,519.22/163,853.43
  6. Step 6: Final answer
    x = 68,290.88

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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.