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Finding the Fourth Proportional to 165,910.86, 248,866.16 and 41,251.86

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Solution

The fourth proportional to 165,910.86, 248,866.16 and 41,251.86 is: 61,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,910.86 : 248,866.16 = 41,251.86 : x
  2. Step 2: Convert to fraction form
    165,910.86/248,866.16 = 41,251.86/x
  3. Step 3: Cross multiply
    165,910.86x = 248,866.16 × 41,251.86
  4. Step 4: Simplify right side
    165,910.86x = 10,266,191,784.80
  5. Step 5: Solve for x
    x = 10,266,191,784.80/165,910.86
  6. Step 6: Final answer
    x = 61,877.76

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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.