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Finding the Fourth Proportional to 109,077.68, 163,616.50 and 34,198.21

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Solution

The fourth proportional to 109,077.68, 163,616.50 and 34,198.21 is: 51,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,077.68 : 163,616.50 = 34,198.21 : x
  2. Step 2: Convert to fraction form
    109,077.68/163,616.50 = 34,198.21/x
  3. Step 3: Cross multiply
    109,077.68x = 163,616.50 × 34,198.21
  4. Step 4: Simplify right side
    109,077.68x = 5,595,390,931.93
  5. Step 5: Solve for x
    x = 5,595,390,931.93/109,077.68
  6. Step 6: Final answer
    x = 51,297.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.