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Finding the Fourth Proportional to 205,213.20, 307,474.20 and 192,771.60

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Solution

The fourth proportional to 205,213.20, 307,474.20 and 192,771.60 is: 288,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,213.20 : 307,474.20 = 192,771.60 : x
  2. Step 2: Convert to fraction form
    205,213.20/307,474.20 = 192,771.60/x
  3. Step 3: Cross multiply
    205,213.20x = 307,474.20 × 192,771.60
  4. Step 4: Simplify right side
    205,213.20x = 59,272,293,492.72
  5. Step 5: Solve for x
    x = 59,272,293,492.72/205,213.20
  6. Step 6: Final answer
    x = 288,832.75

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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.