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Finding the Fourth Proportional to 165,911.78, 248,868.63 and 41,252.78

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Solution

The fourth proportional to 165,911.78, 248,868.63 and 41,252.78 is: 61,879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,911.78 : 248,868.63 = 41,252.78 : x
  2. Step 2: Convert to fraction form
    165,911.78/248,868.63 = 41,252.78/x
  3. Step 3: Cross multiply
    165,911.78x = 248,868.63 × 41,252.78
  4. Step 4: Simplify right side
    165,911.78x = 10,266,522,842.29
  5. Step 5: Solve for x
    x = 10,266,522,842.29/165,911.78
  6. Step 6: Final answer
    x = 61,879.41

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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.