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Finding the Fourth Proportional to 237,662.72, 356,573.48 and 77,745.92

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Solution

The fourth proportional to 237,662.72, 356,573.48 and 77,745.92 is: 116,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,662.72 : 356,573.48 = 77,745.92 : x
  2. Step 2: Convert to fraction form
    237,662.72/356,573.48 = 77,745.92/x
  3. Step 3: Cross multiply
    237,662.72x = 356,573.48 × 77,745.92
  4. Step 4: Simplify right side
    237,662.72x = 27,722,133,250.20
  5. Step 5: Solve for x
    x = 27,722,133,250.20/237,662.72
  6. Step 6: Final answer
    x = 116,644.85

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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.