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Finding the Fourth Proportional to 151,076.97, 208,481.45 and 83,093.49

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Solution

The fourth proportional to 151,076.97, 208,481.45 and 83,093.49 is: 114,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,076.97 : 208,481.45 = 83,093.49 : x
  2. Step 2: Convert to fraction form
    151,076.97/208,481.45 = 83,093.49/x
  3. Step 3: Cross multiply
    151,076.97x = 208,481.45 × 83,093.49
  4. Step 4: Simplify right side
    151,076.97x = 17,323,450,865.29
  5. Step 5: Solve for x
    x = 17,323,450,865.29/151,076.97
  6. Step 6: Final answer
    x = 114,666.39

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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.