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Finding the Fourth Proportional to 206,400.24, 309,600.70 and 56,642.58

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Solution

The fourth proportional to 206,400.24, 309,600.70 and 56,642.58 is: 84,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,400.24 : 309,600.70 = 56,642.58 : x
  2. Step 2: Convert to fraction form
    206,400.24/309,600.70 = 56,642.58/x
  3. Step 3: Cross multiply
    206,400.24x = 309,600.70 × 56,642.58
  4. Step 4: Simplify right side
    206,400.24x = 17,536,582,417.81
  5. Step 5: Solve for x
    x = 17,536,582,417.81/206,400.24
  6. Step 6: Final answer
    x = 84,963.96

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