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Finding the Fourth Proportional to 301,954.09, 416,697.99 and 165,996.78

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Solution

The fourth proportional to 301,954.09, 416,697.99 and 165,996.78 is: 229,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,954.09 : 416,697.99 = 165,996.78 : x
  2. Step 2: Convert to fraction form
    301,954.09/416,697.99 = 165,996.78/x
  3. Step 3: Cross multiply
    301,954.09x = 416,697.99 × 165,996.78
  4. Step 4: Simplify right side
    301,954.09x = 69,170,521,659.00
  5. Step 5: Solve for x
    x = 69,170,521,659.00/301,954.09
  6. Step 6: Final answer
    x = 229,076.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.