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Finding the Fourth Proportional to 231,953.54, 320,090.46 and 136,466.38

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Solution

The fourth proportional to 231,953.54, 320,090.46 and 136,466.38 is: 188,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,953.54 : 320,090.46 = 136,466.38 : x
  2. Step 2: Convert to fraction form
    231,953.54/320,090.46 = 136,466.38/x
  3. Step 3: Cross multiply
    231,953.54x = 320,090.46 × 136,466.38
  4. Step 4: Simplify right side
    231,953.54x = 43,681,586,348.73
  5. Step 5: Solve for x
    x = 43,681,586,348.73/231,953.54
  6. Step 6: Final answer
    x = 188,320.41

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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.