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Finding the Fourth Proportional to 199,642.55, 299,677.04 and 110,872.22

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Solution

The fourth proportional to 199,642.55, 299,677.04 and 110,872.22 is: 166,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,642.55 : 299,677.04 = 110,872.22 : x
  2. Step 2: Convert to fraction form
    199,642.55/299,677.04 = 110,872.22/x
  3. Step 3: Cross multiply
    199,642.55x = 299,677.04 × 110,872.22
  4. Step 4: Simplify right side
    199,642.55x = 33,225,856,655.08
  5. Step 5: Solve for x
    x = 33,225,856,655.08/199,642.55
  6. Step 6: Final answer
    x = 166,426.73

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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.