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Finding the Fourth Proportional to 206,675.20, 309,939.90 and 73,559.80

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Solution

The fourth proportional to 206,675.20, 309,939.90 and 73,559.80 is: 110,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,675.20 : 309,939.90 = 73,559.80 : x
  2. Step 2: Convert to fraction form
    206,675.20/309,939.90 = 73,559.80/x
  3. Step 3: Cross multiply
    206,675.20x = 309,939.90 × 73,559.80
  4. Step 4: Simplify right side
    206,675.20x = 22,799,117,056.02
  5. Step 5: Solve for x
    x = 22,799,117,056.02/206,675.20
  6. Step 6: Final answer
    x = 110,313.75

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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.