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Finding the Fourth Proportional to 109,584.96, 164,128.32 and 85,743.93

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Solution

The fourth proportional to 109,584.96, 164,128.32 and 85,743.93 is: 128,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,584.96 : 164,128.32 = 85,743.93 : x
  2. Step 2: Convert to fraction form
    109,584.96/164,128.32 = 85,743.93/x
  3. Step 3: Cross multiply
    109,584.96x = 164,128.32 × 85,743.93
  4. Step 4: Simplify right side
    109,584.96x = 14,073,007,181.10
  5. Step 5: Solve for x
    x = 14,073,007,181.10/109,584.96
  6. Step 6: Final answer
    x = 128,420.97

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