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Finding the Fourth Proportional to 116,672.07, 160,982.46 and 74,238.78

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Solution

The fourth proportional to 116,672.07, 160,982.46 and 74,238.78 is: 102,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,672.07 : 160,982.46 = 74,238.78 : x
  2. Step 2: Convert to fraction form
    116,672.07/160,982.46 = 74,238.78/x
  3. Step 3: Cross multiply
    116,672.07x = 160,982.46 × 74,238.78
  4. Step 4: Simplify right side
    116,672.07x = 11,951,141,431.80
  5. Step 5: Solve for x
    x = 11,951,141,431.80/116,672.07
  6. Step 6: Final answer
    x = 102,433.61

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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.