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Finding the Fourth Proportional to 206,594.20, 309,818.40 and 73,478.80

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Solution

The fourth proportional to 206,594.20, 309,818.40 and 73,478.80 is: 110,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,594.20 : 309,818.40 = 73,478.80 : x
  2. Step 2: Convert to fraction form
    206,594.20/309,818.40 = 73,478.80/x
  3. Step 3: Cross multiply
    206,594.20x = 309,818.40 × 73,478.80
  4. Step 4: Simplify right side
    206,594.20x = 22,765,084,249.92
  5. Step 5: Solve for x
    x = 22,765,084,249.92/206,594.20
  6. Step 6: Final answer
    x = 110,192.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.