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Finding the Fourth Proportional to 109,327.16, 163,934.44 and 50,112.11

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Solution

The fourth proportional to 109,327.16, 163,934.44 and 50,112.11 is: 75,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,327.16 : 163,934.44 = 50,112.11 : x
  2. Step 2: Convert to fraction form
    109,327.16/163,934.44 = 50,112.11/x
  3. Step 3: Cross multiply
    109,327.16x = 163,934.44 × 50,112.11
  4. Step 4: Simplify right side
    109,327.16x = 8,215,099,745.12
  5. Step 5: Solve for x
    x = 8,215,099,745.12/109,327.16
  6. Step 6: Final answer
    x = 75,142.35

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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.