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Finding the Fourth Proportional to 100,633.36, 138,874.14 and 55,311.32

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Solution

The fourth proportional to 100,633.36, 138,874.14 and 55,311.32 is: 76,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,633.36 : 138,874.14 = 55,311.32 : x
  2. Step 2: Convert to fraction form
    100,633.36/138,874.14 = 55,311.32/x
  3. Step 3: Cross multiply
    100,633.36x = 138,874.14 × 55,311.32
  4. Step 4: Simplify right side
    100,633.36x = 7,681,311,997.26
  5. Step 5: Solve for x
    x = 7,681,311,997.26/100,633.36
  6. Step 6: Final answer
    x = 76,329.68

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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.