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Finding the Fourth Proportional to 165,874.77, 248,812.16 and 41,215.77

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Solution

The fourth proportional to 165,874.77, 248,812.16 and 41,215.77 is: 61,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,874.77 : 248,812.16 = 41,215.77 : x
  2. Step 2: Convert to fraction form
    165,874.77/248,812.16 = 41,215.77/x
  3. Step 3: Cross multiply
    165,874.77x = 248,812.16 × 41,215.77
  4. Step 4: Simplify right side
    165,874.77x = 10,254,984,553.68
  5. Step 5: Solve for x
    x = 10,254,984,553.68/165,874.77
  6. Step 6: Final answer
    x = 61,823.66

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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.