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Finding the Fourth Proportional to 106,634, 159,891.44 and 67,106.40

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Solution

The fourth proportional to 106,634, 159,891.44 and 67,106.40 is: 100,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,634 : 159,891.44 = 67,106.40 : x
  2. Step 2: Convert to fraction form
    106,634/159,891.44 = 67,106.40/x
  3. Step 3: Cross multiply
    106,634x = 159,891.44 × 67,106.40
  4. Step 4: Simplify right side
    106,634x = 10,729,738,929.22
  5. Step 5: Solve for x
    x = 10,729,738,929.22/106,634
  6. Step 6: Final answer
    x = 100,622.12

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