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Finding the Fourth Proportional to 100,178.11, 138,247.49 and 54,855.37

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Solution

The fourth proportional to 100,178.11, 138,247.49 and 54,855.37 is: 75,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.11 : 138,247.49 = 54,855.37 : x
  2. Step 2: Convert to fraction form
    100,178.11/138,247.49 = 54,855.37/x
  3. Step 3: Cross multiply
    100,178.11x = 138,247.49 × 54,855.37
  4. Step 4: Simplify right side
    100,178.11x = 7,583,616,250.01
  5. Step 5: Solve for x
    x = 7,583,616,250.01/100,178.11
  6. Step 6: Final answer
    x = 75,701.33

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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.