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Finding the Fourth Proportional to 199,645.97, 299,364.57 and 73,253.78

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Solution

The fourth proportional to 199,645.97, 299,364.57 and 73,253.78 is: 109,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,645.97 : 299,364.57 = 73,253.78 : x
  2. Step 2: Convert to fraction form
    199,645.97/299,364.57 = 73,253.78/x
  3. Step 3: Cross multiply
    199,645.97x = 299,364.57 × 73,253.78
  4. Step 4: Simplify right side
    199,645.97x = 21,929,584,853.75
  5. Step 5: Solve for x
    x = 21,929,584,853.75/199,645.97
  6. Step 6: Final answer
    x = 109,842.36

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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.