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Finding the Fourth Proportional to 301,963.01, 416,714.09 and 166,002.62

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Solution

The fourth proportional to 301,963.01, 416,714.09 and 166,002.62 is: 229,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,963.01 : 416,714.09 = 166,002.62 : x
  2. Step 2: Convert to fraction form
    301,963.01/416,714.09 = 166,002.62/x
  3. Step 3: Cross multiply
    301,963.01x = 416,714.09 × 166,002.62
  4. Step 4: Simplify right side
    301,963.01x = 69,175,627,817.33
  5. Step 5: Solve for x
    x = 69,175,627,817.33/301,963.01
  6. Step 6: Final answer
    x = 229,086.43

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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.