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Finding the Fourth Proportional to 165,910.78, 248,867.13 and 41,251.78

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Solution

The fourth proportional to 165,910.78, 248,867.13 and 41,251.78 is: 61,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,910.78 : 248,867.13 = 41,251.78 : x
  2. Step 2: Convert to fraction form
    165,910.78/248,867.13 = 41,251.78/x
  3. Step 3: Cross multiply
    165,910.78x = 248,867.13 × 41,251.78
  4. Step 4: Simplify right side
    165,910.78x = 10,266,212,561.77
  5. Step 5: Solve for x
    x = 10,266,212,561.77/165,910.78
  6. Step 6: Final answer
    x = 61,877.91

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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.