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Finding the Fourth Proportional to 100,219.67, 150,329.40 and 41,055.44

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Solution

The fourth proportional to 100,219.67, 150,329.40 and 41,055.44 is: 61,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,219.67 : 150,329.40 = 41,055.44 : x
  2. Step 2: Convert to fraction form
    100,219.67/150,329.40 = 41,055.44/x
  3. Step 3: Cross multiply
    100,219.67x = 150,329.40 × 41,055.44
  4. Step 4: Simplify right side
    100,219.67x = 6,171,839,661.94
  5. Step 5: Solve for x
    x = 6,171,839,661.94/100,219.67
  6. Step 6: Final answer
    x = 61,583.12

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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.