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Finding the Fourth Proportional to 102,584.14, 141,550.14 and 57,259.78

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Solution

The fourth proportional to 102,584.14, 141,550.14 and 57,259.78 is: 79,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,584.14 : 141,550.14 = 57,259.78 : x
  2. Step 2: Convert to fraction form
    102,584.14/141,550.14 = 57,259.78/x
  3. Step 3: Cross multiply
    102,584.14x = 141,550.14 × 57,259.78
  4. Step 4: Simplify right side
    102,584.14x = 8,105,129,875.37
  5. Step 5: Solve for x
    x = 8,105,129,875.37/102,584.14
  6. Step 6: Final answer
    x = 79,009.58

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