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Finding the Fourth Proportional to 106,924.53, 160,067.25 and 64,676.76

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Solution

The fourth proportional to 106,924.53, 160,067.25 and 64,676.76 is: 96,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,924.53 : 160,067.25 = 64,676.76 : x
  2. Step 2: Convert to fraction form
    106,924.53/160,067.25 = 64,676.76/x
  3. Step 3: Cross multiply
    106,924.53x = 160,067.25 × 64,676.76
  4. Step 4: Simplify right side
    106,924.53x = 10,352,631,112.11
  5. Step 5: Solve for x
    x = 10,352,631,112.11/106,924.53
  6. Step 6: Final answer
    x = 96,821.85

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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.