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Finding the Fourth Proportional to 102,142.82, 153,021.05 and 57,801.40

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Solution

The fourth proportional to 102,142.82, 153,021.05 and 57,801.40 is: 86,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,142.82 : 153,021.05 = 57,801.40 : x
  2. Step 2: Convert to fraction form
    102,142.82/153,021.05 = 57,801.40/x
  3. Step 3: Cross multiply
    102,142.82x = 153,021.05 × 57,801.40
  4. Step 4: Simplify right side
    102,142.82x = 8,844,830,464.67
  5. Step 5: Solve for x
    x = 8,844,830,464.67/102,142.82
  6. Step 6: Final answer
    x = 86,592.78

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