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Finding the Fourth Proportional to 209,261.99, 288,920.62 and 160,777.55

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Solution

The fourth proportional to 209,261.99, 288,920.62 and 160,777.55 is: 221,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,261.99 : 288,920.62 = 160,777.55 : x
  2. Step 2: Convert to fraction form
    209,261.99/288,920.62 = 160,777.55/x
  3. Step 3: Cross multiply
    209,261.99x = 288,920.62 × 160,777.55
  4. Step 4: Simplify right side
    209,261.99x = 46,451,950,351.35
  5. Step 5: Solve for x
    x = 46,451,950,351.35/209,261.99
  6. Step 6: Final answer
    x = 221,979.87

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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.