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Finding the Fourth Proportional to 227,163.54, 340,679.69 and 77,400.52

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Solution

The fourth proportional to 227,163.54, 340,679.69 and 77,400.52 is: 116,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,163.54 : 340,679.69 = 77,400.52 : x
  2. Step 2: Convert to fraction form
    227,163.54/340,679.69 = 77,400.52/x
  3. Step 3: Cross multiply
    227,163.54x = 340,679.69 × 77,400.52
  4. Step 4: Simplify right side
    227,163.54x = 26,368,785,159.44
  5. Step 5: Solve for x
    x = 26,368,785,159.44/227,163.54
  6. Step 6: Final answer
    x = 116,078.42

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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.