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Finding the Fourth Proportional to 205,737.24, 283,943.64 and 115,098.24

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Solution

The fourth proportional to 205,737.24, 283,943.64 and 115,098.24 is: 158,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,737.24 : 283,943.64 = 115,098.24 : x
  2. Step 2: Convert to fraction form
    205,737.24/283,943.64 = 115,098.24/x
  3. Step 3: Cross multiply
    205,737.24x = 283,943.64 × 115,098.24
  4. Step 4: Simplify right side
    205,737.24x = 32,681,413,223.19
  5. Step 5: Solve for x
    x = 32,681,413,223.19/205,737.24
  6. Step 6: Final answer
    x = 158,850.26

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