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Finding the Fourth Proportional to 206,700.20, 309,977.40 and 73,584.80

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Solution

The fourth proportional to 206,700.20, 309,977.40 and 73,584.80 is: 110,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,700.20 : 309,977.40 = 73,584.80 : x
  2. Step 2: Convert to fraction form
    206,700.20/309,977.40 = 73,584.80/x
  3. Step 3: Cross multiply
    206,700.20x = 309,977.40 × 73,584.80
  4. Step 4: Simplify right side
    206,700.20x = 22,809,624,983.52
  5. Step 5: Solve for x
    x = 22,809,624,983.52/206,700.20
  6. Step 6: Final answer
    x = 110,351.25

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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.