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Finding the Fourth Proportional to 237,954.24, 356,964.28 and 80,227.80

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Solution

The fourth proportional to 237,954.24, 356,964.28 and 80,227.80 is: 120,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,954.24 : 356,964.28 = 80,227.80 : x
  2. Step 2: Convert to fraction form
    237,954.24/356,964.28 = 80,227.80/x
  3. Step 3: Cross multiply
    237,954.24x = 356,964.28 × 80,227.80
  4. Step 4: Simplify right side
    237,954.24x = 28,638,458,862.98
  5. Step 5: Solve for x
    x = 28,638,458,862.98/237,954.24
  6. Step 6: Final answer
    x = 120,352.80

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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.