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Finding the Fourth Proportional to 106,307.86, 159,481.41 and 43,983.22

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Solution

The fourth proportional to 106,307.86, 159,481.41 and 43,983.22 is: 65,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,307.86 : 159,481.41 = 43,983.22 : x
  2. Step 2: Convert to fraction form
    106,307.86/159,481.41 = 43,983.22/x
  3. Step 3: Cross multiply
    106,307.86x = 159,481.41 × 43,983.22
  4. Step 4: Simplify right side
    106,307.86x = 7,014,505,941.94
  5. Step 5: Solve for x
    x = 7,014,505,941.94/106,307.86
  6. Step 6: Final answer
    x = 65,982.95

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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.