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Finding the Fourth Proportional to 115,481.68, 159,256.56 and 76,650.82

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Solution

The fourth proportional to 115,481.68, 159,256.56 and 76,650.82 is: 105,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,481.68 : 159,256.56 = 76,650.82 : x
  2. Step 2: Convert to fraction form
    115,481.68/159,256.56 = 76,650.82/x
  3. Step 3: Cross multiply
    115,481.68x = 159,256.56 × 76,650.82
  4. Step 4: Simplify right side
    115,481.68x = 12,207,145,914.38
  5. Step 5: Solve for x
    x = 12,207,145,914.38/115,481.68
  6. Step 6: Final answer
    x = 105,706.34

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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.