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Finding the Fourth Proportional to 165,879.84, 248,819.40 and 41,220.84

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Solution

The fourth proportional to 165,879.84, 248,819.40 and 41,220.84 is: 61,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,879.84 : 248,819.40 = 41,220.84 : x
  2. Step 2: Convert to fraction form
    165,879.84/248,819.40 = 41,220.84/x
  3. Step 3: Cross multiply
    165,879.84x = 248,819.40 × 41,220.84
  4. Step 4: Simplify right side
    165,879.84x = 10,256,544,676.30
  5. Step 5: Solve for x
    x = 10,256,544,676.30/165,879.84
  6. Step 6: Final answer
    x = 61,831.17

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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.