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Finding the Fourth Proportional to 106,983.66, 160,361.66 and 40,395.44

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Solution

The fourth proportional to 106,983.66, 160,361.66 and 40,395.44 is: 60,550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,983.66 : 160,361.66 = 40,395.44 : x
  2. Step 2: Convert to fraction form
    106,983.66/160,361.66 = 40,395.44/x
  3. Step 3: Cross multiply
    106,983.66x = 160,361.66 × 40,395.44
  4. Step 4: Simplify right side
    106,983.66x = 6,477,879,814.83
  5. Step 5: Solve for x
    x = 6,477,879,814.83/106,983.66
  6. Step 6: Final answer
    x = 60,550.18

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Why These Related Problems?

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