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Finding the Fourth Proportional to 109,411.54, 164,051.70 and 50,173

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Solution

The fourth proportional to 109,411.54, 164,051.70 and 50,173 is: 75,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,411.54 : 164,051.70 = 50,173 : x
  2. Step 2: Convert to fraction form
    109,411.54/164,051.70 = 50,173/x
  3. Step 3: Cross multiply
    109,411.54x = 164,051.70 × 50,173
  4. Step 4: Simplify right side
    109,411.54x = 8,230,965,944.10
  5. Step 5: Solve for x
    x = 8,230,965,944.10/109,411.54
  6. Step 6: Final answer
    x = 75,229.41

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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.