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Finding the Fourth Proportional to 68,191.18, 102,297.79 and 20,164.66

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Solution

The fourth proportional to 68,191.18, 102,297.79 and 20,164.66 is: 30,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,191.18 : 102,297.79 = 20,164.66 : x
  2. Step 2: Convert to fraction form
    68,191.18/102,297.79 = 20,164.66/x
  3. Step 3: Cross multiply
    68,191.18x = 102,297.79 × 20,164.66
  4. Step 4: Simplify right side
    68,191.18x = 2,062,800,154.10
  5. Step 5: Solve for x
    x = 2,062,800,154.10/68,191.18
  6. Step 6: Final answer
    x = 30,250.25

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Why These Related Problems?

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