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Finding the Fourth Proportional to 199,572.26, 299,358.35 and 73,164.72

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Solution

The fourth proportional to 199,572.26, 299,358.35 and 73,164.72 is: 109,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,572.26 : 299,358.35 = 73,164.72 : x
  2. Step 2: Convert to fraction form
    199,572.26/299,358.35 = 73,164.72/x
  3. Step 3: Cross multiply
    199,572.26x = 299,358.35 × 73,164.72
  4. Step 4: Simplify right side
    199,572.26x = 21,902,469,857.41
  5. Step 5: Solve for x
    x = 21,902,469,857.41/199,572.26
  6. Step 6: Final answer
    x = 109,747.07

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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.