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Finding the Fourth Proportional to 209,863.20, 289,611.43 and 114,369.97

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Solution

The fourth proportional to 209,863.20, 289,611.43 and 114,369.97 is: 157,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,863.20 : 289,611.43 = 114,369.97 : x
  2. Step 2: Convert to fraction form
    209,863.20/289,611.43 = 114,369.97/x
  3. Step 3: Cross multiply
    209,863.20x = 289,611.43 × 114,369.97
  4. Step 4: Simplify right side
    209,863.20x = 33,122,850,560.76
  5. Step 5: Solve for x
    x = 33,122,850,560.76/209,863.20
  6. Step 6: Final answer
    x = 157,830.68

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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.