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Finding the Fourth Proportional to 205,813.64, 284,038.08 and 115,178.69

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Solution

The fourth proportional to 205,813.64, 284,038.08 and 115,178.69 is: 158,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,813.64 : 284,038.08 = 115,178.69 : x
  2. Step 2: Convert to fraction form
    205,813.64/284,038.08 = 115,178.69/x
  3. Step 3: Cross multiply
    205,813.64x = 284,038.08 × 115,178.69
  4. Step 4: Simplify right side
    205,813.64x = 32,715,133,964.52
  5. Step 5: Solve for x
    x = 32,715,133,964.52/205,813.64
  6. Step 6: Final answer
    x = 158,955.13

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