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Finding the Fourth Proportional to 106,105.14, 159,116.81 and 46,908.32

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Solution

The fourth proportional to 106,105.14, 159,116.81 and 46,908.32 is: 70,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,105.14 : 159,116.81 = 46,908.32 : x
  2. Step 2: Convert to fraction form
    106,105.14/159,116.81 = 46,908.32/x
  3. Step 3: Cross multiply
    106,105.14x = 159,116.81 × 46,908.32
  4. Step 4: Simplify right side
    106,105.14x = 7,463,901,210.73
  5. Step 5: Solve for x
    x = 7,463,901,210.73/106,105.14
  6. Step 6: Final answer
    x = 70,344.39

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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.