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Finding the Fourth Proportional to 100,206.02, 138,279.38 and 54,884.20

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Solution

The fourth proportional to 100,206.02, 138,279.38 and 54,884.20 is: 75,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,206.02 : 138,279.38 = 54,884.20 : x
  2. Step 2: Convert to fraction form
    100,206.02/138,279.38 = 54,884.20/x
  3. Step 3: Cross multiply
    100,206.02x = 138,279.38 × 54,884.20
  4. Step 4: Simplify right side
    100,206.02x = 7,589,353,147.80
  5. Step 5: Solve for x
    x = 7,589,353,147.80/100,206.02
  6. Step 6: Final answer
    x = 75,737.50

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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.