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Finding the Fourth Proportional to 165,672, 248,508 and 41,013

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Solution

The fourth proportional to 165,672, 248,508 and 41,013 is: 61,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,672 : 248,508 = 41,013 : x
  2. Step 2: Convert to fraction form
    165,672/248,508 = 41,013/x
  3. Step 3: Cross multiply
    165,672x = 248,508 × 41,013
  4. Step 4: Simplify right side
    165,672x = 10,192,058,604
  5. Step 5: Solve for x
    x = 10,192,058,604/165,672
  6. Step 6: Final answer
    x = 61,519.50

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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.