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Finding the Fourth Proportional to 209,738.78, 289,439.64 and 114,245.90

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Solution

The fourth proportional to 209,738.78, 289,439.64 and 114,245.90 is: 157,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,738.78 : 289,439.64 = 114,245.90 : x
  2. Step 2: Convert to fraction form
    209,738.78/289,439.64 = 114,245.90/x
  3. Step 3: Cross multiply
    209,738.78x = 289,439.64 × 114,245.90
  4. Step 4: Simplify right side
    209,738.78x = 33,067,292,167.48
  5. Step 5: Solve for x
    x = 33,067,292,167.48/209,738.78
  6. Step 6: Final answer
    x = 157,659.41

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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.