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Finding the Fourth Proportional to 199,355.92, 299,158.38 and 81,027.22

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Solution

The fourth proportional to 199,355.92, 299,158.38 and 81,027.22 is: 121,591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,355.92 : 299,158.38 = 81,027.22 : x
  2. Step 2: Convert to fraction form
    199,355.92/299,158.38 = 81,027.22/x
  3. Step 3: Cross multiply
    199,355.92x = 299,158.38 × 81,027.22
  4. Step 4: Simplify right side
    199,355.92x = 24,239,971,871.10
  5. Step 5: Solve for x
    x = 24,239,971,871.10/199,355.92
  6. Step 6: Final answer
    x = 121,591.43

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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.