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Finding the Fourth Proportional to 100,214.85, 138,296.33 and 54,894.75

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Solution

The fourth proportional to 100,214.85, 138,296.33 and 54,894.75 is: 75,754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,214.85 : 138,296.33 = 54,894.75 : x
  2. Step 2: Convert to fraction form
    100,214.85/138,296.33 = 54,894.75/x
  3. Step 3: Cross multiply
    100,214.85x = 138,296.33 × 54,894.75
  4. Step 4: Simplify right side
    100,214.85x = 7,591,742,186.79
  5. Step 5: Solve for x
    x = 7,591,742,186.79/100,214.85
  6. Step 6: Final answer
    x = 75,754.66

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