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Finding the Fourth Proportional to 109,324.10, 164,059.05 and 50,129.30

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Solution

The fourth proportional to 109,324.10, 164,059.05 and 50,129.30 is: 75,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,324.10 : 164,059.05 = 50,129.30 : x
  2. Step 2: Convert to fraction form
    109,324.10/164,059.05 = 50,129.30/x
  3. Step 3: Cross multiply
    109,324.10x = 164,059.05 × 50,129.30
  4. Step 4: Simplify right side
    109,324.10x = 8,224,165,335.17
  5. Step 5: Solve for x
    x = 8,224,165,335.17/109,324.10
  6. Step 6: Final answer
    x = 75,227.38

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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.