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Finding the Fourth Proportional to 199,471.80, 299,221.20 and 81,145.20

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Solution

The fourth proportional to 199,471.80, 299,221.20 and 81,145.20 is: 121,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,471.80 : 299,221.20 = 81,145.20 : x
  2. Step 2: Convert to fraction form
    199,471.80/299,221.20 = 81,145.20/x
  3. Step 3: Cross multiply
    199,471.80x = 299,221.20 × 81,145.20
  4. Step 4: Simplify right side
    199,471.80x = 24,280,364,118.24
  5. Step 5: Solve for x
    x = 24,280,364,118.24/199,471.80
  6. Step 6: Final answer
    x = 121,723.29

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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.