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Finding the Fourth Proportional to 206,074.89, 284,267.21 and 120,023.73

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Solution

The fourth proportional to 206,074.89, 284,267.21 and 120,023.73 is: 165,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,074.89 : 284,267.21 = 120,023.73 : x
  2. Step 2: Convert to fraction form
    206,074.89/284,267.21 = 120,023.73/x
  3. Step 3: Cross multiply
    206,074.89x = 284,267.21 × 120,023.73
  4. Step 4: Simplify right side
    206,074.89x = 34,118,810,260.77
  5. Step 5: Solve for x
    x = 34,118,810,260.77/206,074.89
  6. Step 6: Final answer
    x = 165,565.10

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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.