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Finding the Fourth Proportional to 106,989.66, 160,500.69 and 43,843.68

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Solution

The fourth proportional to 106,989.66, 160,500.69 and 43,843.68 is: 65,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,989.66 : 160,500.69 = 43,843.68 : x
  2. Step 2: Convert to fraction form
    106,989.66/160,500.69 = 43,843.68/x
  3. Step 3: Cross multiply
    106,989.66x = 160,500.69 × 43,843.68
  4. Step 4: Simplify right side
    106,989.66x = 7,036,940,892.14
  5. Step 5: Solve for x
    x = 7,036,940,892.14/106,989.66
  6. Step 6: Final answer
    x = 65,772.16

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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.