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Finding the Fourth Proportional to 106,324.94, 146,629.86 and 77,599.10

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Solution

The fourth proportional to 106,324.94, 146,629.86 and 77,599.10 is: 107,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,324.94 : 146,629.86 = 77,599.10 : x
  2. Step 2: Convert to fraction form
    106,324.94/146,629.86 = 77,599.10/x
  3. Step 3: Cross multiply
    106,324.94x = 146,629.86 × 77,599.10
  4. Step 4: Simplify right side
    106,324.94x = 11,378,344,435.98
  5. Step 5: Solve for x
    x = 11,378,344,435.98/106,324.94
  6. Step 6: Final answer
    x = 107,014.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.