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Finding the Fourth Proportional to 206,853.03, 310,202.91 and 73,697.94

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Solution

The fourth proportional to 206,853.03, 310,202.91 and 73,697.94 is: 110,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,853.03 : 310,202.91 = 73,697.94 : x
  2. Step 2: Convert to fraction form
    206,853.03/310,202.91 = 73,697.94/x
  3. Step 3: Cross multiply
    206,853.03x = 310,202.91 × 73,697.94
  4. Step 4: Simplify right side
    206,853.03x = 22,861,315,449.01
  5. Step 5: Solve for x
    x = 22,861,315,449.01/206,853.03
  6. Step 6: Final answer
    x = 110,519.61

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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.