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Finding the Fourth Proportional to 100,226.05, 138,306.03 and 54,895

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Solution

The fourth proportional to 100,226.05, 138,306.03 and 54,895 is: 75,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,226.05 : 138,306.03 = 54,895 : x
  2. Step 2: Convert to fraction form
    100,226.05/138,306.03 = 54,895/x
  3. Step 3: Cross multiply
    100,226.05x = 138,306.03 × 54,895
  4. Step 4: Simplify right side
    100,226.05x = 7,592,309,516.85
  5. Step 5: Solve for x
    x = 7,592,309,516.85/100,226.05
  6. Step 6: Final answer
    x = 75,751.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.