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Finding the Fourth Proportional to 205,519.20, 308,205.90 and 72,403.80

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Solution

The fourth proportional to 205,519.20, 308,205.90 and 72,403.80 is: 108,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,519.20 : 308,205.90 = 72,403.80 : x
  2. Step 2: Convert to fraction form
    205,519.20/308,205.90 = 72,403.80/x
  3. Step 3: Cross multiply
    205,519.20x = 308,205.90 × 72,403.80
  4. Step 4: Simplify right side
    205,519.20x = 22,315,278,342.42
  5. Step 5: Solve for x
    x = 22,315,278,342.42/205,519.20
  6. Step 6: Final answer
    x = 108,580.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.