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Finding the Fourth Proportional to 165,825.94, 248,738.90 and 41,166.94

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Solution

The fourth proportional to 165,825.94, 248,738.90 and 41,166.94 is: 61,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,825.94 : 248,738.90 = 41,166.94 : x
  2. Step 2: Convert to fraction form
    165,825.94/248,738.90 = 41,166.94/x
  3. Step 3: Cross multiply
    165,825.94x = 248,738.90 × 41,166.94
  4. Step 4: Simplify right side
    165,825.94x = 10,239,819,371.97
  5. Step 5: Solve for x
    x = 10,239,819,371.97/165,825.94
  6. Step 6: Final answer
    x = 61,750.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.