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Finding the Fourth Proportional to 200,431.22, 276,594.75 and 109,791

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Solution

The fourth proportional to 200,431.22, 276,594.75 and 109,791 is: 151,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,431.22 : 276,594.75 = 109,791 : x
  2. Step 2: Convert to fraction form
    200,431.22/276,594.75 = 109,791/x
  3. Step 3: Cross multiply
    200,431.22x = 276,594.75 × 109,791
  4. Step 4: Simplify right side
    200,431.22x = 30,367,614,197.25
  5. Step 5: Solve for x
    x = 30,367,614,197.25/200,431.22
  6. Step 6: Final answer
    x = 151,511.40

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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.