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Finding the Fourth Proportional to 106,254.87, 159,420.23 and 50,102.96

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Solution

The fourth proportional to 106,254.87, 159,420.23 and 50,102.96 is: 75,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,254.87 : 159,420.23 = 50,102.96 : x
  2. Step 2: Convert to fraction form
    106,254.87/159,420.23 = 50,102.96/x
  3. Step 3: Cross multiply
    106,254.87x = 159,420.23 × 50,102.96
  4. Step 4: Simplify right side
    106,254.87x = 7,987,425,406.88
  5. Step 5: Solve for x
    x = 7,987,425,406.88/106,254.87
  6. Step 6: Final answer
    x = 75,172.32

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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.