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Finding the Fourth Proportional to 105,100.16, 157,675.84 and 31,228.16

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Solution

The fourth proportional to 105,100.16, 157,675.84 and 31,228.16 is: 46,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,100.16 : 157,675.84 = 31,228.16 : x
  2. Step 2: Convert to fraction form
    105,100.16/157,675.84 = 31,228.16/x
  3. Step 3: Cross multiply
    105,100.16x = 157,675.84 × 31,228.16
  4. Step 4: Simplify right side
    105,100.16x = 4,923,926,359.65
  5. Step 5: Solve for x
    x = 4,923,926,359.65/105,100.16
  6. Step 6: Final answer
    x = 46,849.85

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