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Finding the Fourth Proportional to 293,542.43, 405,107.88 and 164,473.89

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Solution

The fourth proportional to 293,542.43, 405,107.88 and 164,473.89 is: 226,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,542.43 : 405,107.88 = 164,473.89 : x
  2. Step 2: Convert to fraction form
    293,542.43/405,107.88 = 164,473.89/x
  3. Step 3: Cross multiply
    293,542.43x = 405,107.88 × 164,473.89
  4. Step 4: Simplify right side
    293,542.43x = 66,629,669,961.22
  5. Step 5: Solve for x
    x = 66,629,669,961.22/293,542.43
  6. Step 6: Final answer
    x = 226,984.80

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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.