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Finding the Fourth Proportional to 206,789.86, 310,015.26 and 73,594.27

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Solution

The fourth proportional to 206,789.86, 310,015.26 and 73,594.27 is: 110,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,789.86 : 310,015.26 = 73,594.27 : x
  2. Step 2: Convert to fraction form
    206,789.86/310,015.26 = 73,594.27/x
  3. Step 3: Cross multiply
    206,789.86x = 310,015.26 × 73,594.27
  4. Step 4: Simplify right side
    206,789.86x = 22,815,346,748.56
  5. Step 5: Solve for x
    x = 22,815,346,748.56/206,789.86
  6. Step 6: Final answer
    x = 110,331.07

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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.