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Finding the Fourth Proportional to 102,205.41, 153,313.41 and 31,122.55

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Solution

The fourth proportional to 102,205.41, 153,313.41 and 31,122.55 is: 46,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,205.41 : 153,313.41 = 31,122.55 : x
  2. Step 2: Convert to fraction form
    102,205.41/153,313.41 = 31,122.55/x
  3. Step 3: Cross multiply
    102,205.41x = 153,313.41 × 31,122.55
  4. Step 4: Simplify right side
    102,205.41x = 4,771,504,832.88
  5. Step 5: Solve for x
    x = 4,771,504,832.88/102,205.41
  6. Step 6: Final answer
    x = 46,685.44

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