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Finding the Fourth Proportional to 206,584.76, 309,826.12 and 56,817.80

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Solution

The fourth proportional to 206,584.76, 309,826.12 and 56,817.80 is: 85,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,584.76 : 309,826.12 = 56,817.80 : x
  2. Step 2: Convert to fraction form
    206,584.76/309,826.12 = 56,817.80/x
  3. Step 3: Cross multiply
    206,584.76x = 309,826.12 × 56,817.80
  4. Step 4: Simplify right side
    206,584.76x = 17,603,638,520.94
  5. Step 5: Solve for x
    x = 17,603,638,520.94/206,584.76
  6. Step 6: Final answer
    x = 85,212.67

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