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Finding the Fourth Proportional to 205,518.20, 308,204.40 and 72,402.80

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Solution

The fourth proportional to 205,518.20, 308,204.40 and 72,402.80 is: 108,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,518.20 : 308,204.40 = 72,402.80 : x
  2. Step 2: Convert to fraction form
    205,518.20/308,204.40 = 72,402.80/x
  3. Step 3: Cross multiply
    205,518.20x = 308,204.40 × 72,402.80
  4. Step 4: Simplify right side
    205,518.20x = 22,314,861,532.32
  5. Step 5: Solve for x
    x = 22,314,861,532.32/205,518.20
  6. Step 6: Final answer
    x = 108,578.52

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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.