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Finding the Fourth Proportional to 199,138.26, 274,810.65 and 109,714.26

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Solution

The fourth proportional to 199,138.26, 274,810.65 and 109,714.26 is: 151,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,138.26 : 274,810.65 = 109,714.26 : x
  2. Step 2: Convert to fraction form
    199,138.26/274,810.65 = 109,714.26/x
  3. Step 3: Cross multiply
    199,138.26x = 274,810.65 × 109,714.26
  4. Step 4: Simplify right side
    199,138.26x = 30,150,647,104.87
  5. Step 5: Solve for x
    x = 30,150,647,104.87/199,138.26
  6. Step 6: Final answer
    x = 151,405.60

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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.