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Finding the Fourth Proportional to 199,819.86, 299,843.10 and 73,443.66

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Solution

The fourth proportional to 199,819.86, 299,843.10 and 73,443.66 is: 110,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,819.86 : 299,843.10 = 73,443.66 : x
  2. Step 2: Convert to fraction form
    199,819.86/299,843.10 = 73,443.66/x
  3. Step 3: Cross multiply
    199,819.86x = 299,843.10 × 73,443.66
  4. Step 4: Simplify right side
    199,819.86x = 22,021,574,689.75
  5. Step 5: Solve for x
    x = 22,021,574,689.75/199,819.86
  6. Step 6: Final answer
    x = 110,207.14

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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.