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Finding the Fourth Proportional to 109,326.10, 164,062.05 and 50,131.30

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Solution

The fourth proportional to 109,326.10, 164,062.05 and 50,131.30 is: 75,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,326.10 : 164,062.05 = 50,131.30 : x
  2. Step 2: Convert to fraction form
    109,326.10/164,062.05 = 50,131.30/x
  3. Step 3: Cross multiply
    109,326.10x = 164,062.05 × 50,131.30
  4. Step 4: Simplify right side
    109,326.10x = 8,224,643,847.17
  5. Step 5: Solve for x
    x = 8,224,643,847.17/109,326.10
  6. Step 6: Final answer
    x = 75,230.38

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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.