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Finding the Fourth Proportional to 106,554.24, 160,012.80 and 102,096

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Solution

The fourth proportional to 106,554.24, 160,012.80 and 102,096 is: 153,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,554.24 : 160,012.80 = 102,096 : x
  2. Step 2: Convert to fraction form
    106,554.24/160,012.80 = 102,096/x
  3. Step 3: Cross multiply
    106,554.24x = 160,012.80 × 102,096
  4. Step 4: Simplify right side
    106,554.24x = 16,336,666,828.80
  5. Step 5: Solve for x
    x = 16,336,666,828.80/106,554.24
  6. Step 6: Final answer
    x = 153,317.85

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