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Finding the Fourth Proportional to 206,789.88, 310,015.30 and 73,594.29

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Solution

The fourth proportional to 206,789.88, 310,015.30 and 73,594.29 is: 110,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,789.88 : 310,015.30 = 73,594.29 : x
  2. Step 2: Convert to fraction form
    206,789.88/310,015.30 = 73,594.29/x
  3. Step 3: Cross multiply
    206,789.88x = 310,015.30 × 73,594.29
  4. Step 4: Simplify right side
    206,789.88x = 22,815,355,708.65
  5. Step 5: Solve for x
    x = 22,815,355,708.65/206,789.88
  6. Step 6: Final answer
    x = 110,331.10

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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.