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Finding the Fourth Proportional to 199,774.96, 299,558.96 and 73,382.56

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Solution

The fourth proportional to 199,774.96, 299,558.96 and 73,382.56 is: 110,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,774.96 : 299,558.96 = 73,382.56 : x
  2. Step 2: Convert to fraction form
    199,774.96/299,558.96 = 73,382.56/x
  3. Step 3: Cross multiply
    199,774.96x = 299,558.96 × 73,382.56
  4. Step 4: Simplify right side
    199,774.96x = 21,982,404,612.91
  5. Step 5: Solve for x
    x = 21,982,404,612.91/199,774.96
  6. Step 6: Final answer
    x = 110,035.83

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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.