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Finding the Fourth Proportional to 206,536.50, 284,792.70 and 142,763.58

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Solution

The fourth proportional to 206,536.50, 284,792.70 and 142,763.58 is: 196,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,536.50 : 284,792.70 = 142,763.58 : x
  2. Step 2: Convert to fraction form
    206,536.50/284,792.70 = 142,763.58/x
  3. Step 3: Cross multiply
    206,536.50x = 284,792.70 × 142,763.58
  4. Step 4: Simplify right side
    206,536.50x = 40,658,025,409.87
  5. Step 5: Solve for x
    x = 40,658,025,409.87/206,536.50
  6. Step 6: Final answer
    x = 196,856.37

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