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Finding the Fourth Proportional to 301,968.09, 416,723.99 and 164,156.28

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Solution

The fourth proportional to 301,968.09, 416,723.99 and 164,156.28 is: 226,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,968.09 : 416,723.99 = 164,156.28 : x
  2. Step 2: Convert to fraction form
    301,968.09/416,723.99 = 164,156.28/x
  3. Step 3: Cross multiply
    301,968.09x = 416,723.99 × 164,156.28
  4. Step 4: Simplify right side
    301,968.09x = 68,407,859,164.38
  5. Step 5: Solve for x
    x = 68,407,859,164.38/301,968.09
  6. Step 6: Final answer
    x = 226,540.03

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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.