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Finding the Fourth Proportional to 102,538.68, 153,792.66 and 85,120.44

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Solution

The fourth proportional to 102,538.68, 153,792.66 and 85,120.44 is: 127,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,538.68 : 153,792.66 = 85,120.44 : x
  2. Step 2: Convert to fraction form
    102,538.68/153,792.66 = 85,120.44/x
  3. Step 3: Cross multiply
    102,538.68x = 153,792.66 × 85,120.44
  4. Step 4: Simplify right side
    102,538.68x = 13,090,898,887.97
  5. Step 5: Solve for x
    x = 13,090,898,887.97/102,538.68
  6. Step 6: Final answer
    x = 127,667.91

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