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Finding the Fourth Proportional to 205,825.80, 308,738.70 and 172,000.20

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Solution

The fourth proportional to 205,825.80, 308,738.70 and 172,000.20 is: 258,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,825.80 : 308,738.70 = 172,000.20 : x
  2. Step 2: Convert to fraction form
    205,825.80/308,738.70 = 172,000.20/x
  3. Step 3: Cross multiply
    205,825.80x = 308,738.70 × 172,000.20
  4. Step 4: Simplify right side
    205,825.80x = 53,103,118,147.74
  5. Step 5: Solve for x
    x = 53,103,118,147.74/205,825.80
  6. Step 6: Final answer
    x = 258,000.30

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