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Finding the Fourth Proportional to 199,817.27, 299,844.12 and 73,546.20

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Solution

The fourth proportional to 199,817.27, 299,844.12 and 73,546.20 is: 110,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,817.27 : 299,844.12 = 73,546.20 : x
  2. Step 2: Convert to fraction form
    199,817.27/299,844.12 = 73,546.20/x
  3. Step 3: Cross multiply
    199,817.27x = 299,844.12 × 73,546.20
  4. Step 4: Simplify right side
    199,817.27x = 22,052,395,618.34
  5. Step 5: Solve for x
    x = 22,052,395,618.34/199,817.27
  6. Step 6: Final answer
    x = 110,362.81

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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.