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Finding the Fourth Proportional to 206,203.20, 284,578.74 and 120,157.50

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Solution

The fourth proportional to 206,203.20, 284,578.74 and 120,157.50 is: 165,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,203.20 : 284,578.74 = 120,157.50 : x
  2. Step 2: Convert to fraction form
    206,203.20/284,578.74 = 120,157.50/x
  3. Step 3: Cross multiply
    206,203.20x = 284,578.74 × 120,157.50
  4. Step 4: Simplify right side
    206,203.20x = 34,194,269,951.55
  5. Step 5: Solve for x
    x = 34,194,269,951.55/206,203.20
  6. Step 6: Final answer
    x = 165,828.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.