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Finding the Fourth Proportional to 431,633.20, 647,523.80 and 132,106.36

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Solution

The fourth proportional to 431,633.20, 647,523.80 and 132,106.36 is: 198,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,633.20 : 647,523.80 = 132,106.36 : x
  2. Step 2: Convert to fraction form
    431,633.20/647,523.80 = 132,106.36/x
  3. Step 3: Cross multiply
    431,633.20x = 647,523.80 × 132,106.36
  4. Step 4: Simplify right side
    431,633.20x = 85,542,012,231.37
  5. Step 5: Solve for x
    x = 85,542,012,231.37/431,633.20
  6. Step 6: Final answer
    x = 198,182.19

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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.