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Finding the Fourth Proportional to 106,127.68, 159,226.08 and 50,728

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Solution

The fourth proportional to 106,127.68, 159,226.08 and 50,728 is: 76,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,127.68 : 159,226.08 = 50,728 : x
  2. Step 2: Convert to fraction form
    106,127.68/159,226.08 = 50,728/x
  3. Step 3: Cross multiply
    106,127.68x = 159,226.08 × 50,728
  4. Step 4: Simplify right side
    106,127.68x = 8,077,220,586.24
  5. Step 5: Solve for x
    x = 8,077,220,586.24/106,127.68
  6. Step 6: Final answer
    x = 76,108.52

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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.