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Finding the Fourth Proportional to 231,955.54, 320,093.22 and 136,468.38

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Solution

The fourth proportional to 231,955.54, 320,093.22 and 136,468.38 is: 188,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,955.54 : 320,093.22 = 136,468.38 : x
  2. Step 2: Convert to fraction form
    231,955.54/320,093.22 = 136,468.38/x
  3. Step 3: Cross multiply
    231,955.54x = 320,093.22 × 136,468.38
  4. Step 4: Simplify right side
    231,955.54x = 43,682,603,182.38
  5. Step 5: Solve for x
    x = 43,682,603,182.38/231,955.54
  6. Step 6: Final answer
    x = 188,323.17

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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.