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Finding the Fourth Proportional to 206,698.20, 309,974.40 and 73,582.80

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Solution

The fourth proportional to 206,698.20, 309,974.40 and 73,582.80 is: 110,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,698.20 : 309,974.40 = 73,582.80 : x
  2. Step 2: Convert to fraction form
    206,698.20/309,974.40 = 73,582.80/x
  3. Step 3: Cross multiply
    206,698.20x = 309,974.40 × 73,582.80
  4. Step 4: Simplify right side
    206,698.20x = 22,808,784,280.32
  5. Step 5: Solve for x
    x = 22,808,784,280.32/206,698.20
  6. Step 6: Final answer
    x = 110,348.25

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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.