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Finding the Fourth Proportional to 205,301.80, 307,949.34 and 65,060.20

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Solution

The fourth proportional to 205,301.80, 307,949.34 and 65,060.20 is: 97,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,301.80 : 307,949.34 = 65,060.20 : x
  2. Step 2: Convert to fraction form
    205,301.80/307,949.34 = 65,060.20/x
  3. Step 3: Cross multiply
    205,301.80x = 307,949.34 × 65,060.20
  4. Step 4: Simplify right side
    205,301.80x = 20,035,245,650.27
  5. Step 5: Solve for x
    x = 20,035,245,650.27/205,301.80
  6. Step 6: Final answer
    x = 97,589.24

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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.