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Finding the Fourth Proportional to 106,997.14, 160,408.14 and 40,399.48

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Solution

The fourth proportional to 106,997.14, 160,408.14 and 40,399.48 is: 60,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,997.14 : 160,408.14 = 40,399.48 : x
  2. Step 2: Convert to fraction form
    106,997.14/160,408.14 = 40,399.48/x
  3. Step 3: Cross multiply
    106,997.14x = 160,408.14 × 40,399.48
  4. Step 4: Simplify right side
    106,997.14x = 6,480,405,443.77
  5. Step 5: Solve for x
    x = 6,480,405,443.77/106,997.14
  6. Step 6: Final answer
    x = 60,566.16

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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.