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Finding the Fourth Proportional to 233,391.57, 322,086.74 and 142,745.88

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Solution

The fourth proportional to 233,391.57, 322,086.74 and 142,745.88 is: 196,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,391.57 : 322,086.74 = 142,745.88 : x
  2. Step 2: Convert to fraction form
    233,391.57/322,086.74 = 142,745.88/x
  3. Step 3: Cross multiply
    233,391.57x = 322,086.74 × 142,745.88
  4. Step 4: Simplify right side
    233,391.57x = 45,976,555,137.63
  5. Step 5: Solve for x
    x = 45,976,555,137.63/233,391.57
  6. Step 6: Final answer
    x = 196,993.21

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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.