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Finding the Fourth Proportional to 191,998.77, 264,958.47 and 107,115.86

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Solution

The fourth proportional to 191,998.77, 264,958.47 and 107,115.86 is: 147,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,998.77 : 264,958.47 = 107,115.86 : x
  2. Step 2: Convert to fraction form
    191,998.77/264,958.47 = 107,115.86/x
  3. Step 3: Cross multiply
    191,998.77x = 264,958.47 × 107,115.86
  4. Step 4: Simplify right side
    191,998.77x = 28,381,253,053.54
  5. Step 5: Solve for x
    x = 28,381,253,053.54/191,998.77
  6. Step 6: Final answer
    x = 147,819.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.