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Finding the Fourth Proportional to 205,822.35, 308,724.26 and 85,829.90

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Solution

The fourth proportional to 205,822.35, 308,724.26 and 85,829.90 is: 128,740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,822.35 : 308,724.26 = 85,829.90 : x
  2. Step 2: Convert to fraction form
    205,822.35/308,724.26 = 85,829.90/x
  3. Step 3: Cross multiply
    205,822.35x = 308,724.26 × 85,829.90
  4. Step 4: Simplify right side
    205,822.35x = 26,497,770,390.60
  5. Step 5: Solve for x
    x = 26,497,770,390.60/205,822.35
  6. Step 6: Final answer
    x = 128,740.98

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