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Finding the Fourth Proportional to 106,315.98, 159,418.60 and 50,141.01

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Solution

The fourth proportional to 106,315.98, 159,418.60 and 50,141.01 is: 75,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,315.98 : 159,418.60 = 50,141.01 : x
  2. Step 2: Convert to fraction form
    106,315.98/159,418.60 = 50,141.01/x
  3. Step 3: Cross multiply
    106,315.98x = 159,418.60 × 50,141.01
  4. Step 4: Simplify right side
    106,315.98x = 7,993,409,427.56
  5. Step 5: Solve for x
    x = 7,993,409,427.56/106,315.98
  6. Step 6: Final answer
    x = 75,185.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.