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Finding the Fourth Proportional to 150,643.10, 225,965.94 and 38,323.44

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Solution

The fourth proportional to 150,643.10, 225,965.94 and 38,323.44 is: 57,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,643.10 : 225,965.94 = 38,323.44 : x
  2. Step 2: Convert to fraction form
    150,643.10/225,965.94 = 38,323.44/x
  3. Step 3: Cross multiply
    150,643.10x = 225,965.94 × 38,323.44
  4. Step 4: Simplify right side
    150,643.10x = 8,659,792,143.63
  5. Step 5: Solve for x
    x = 8,659,792,143.63/150,643.10
  6. Step 6: Final answer
    x = 57,485.49

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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.