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Finding the Fourth Proportional to 254,296, 350,928.48 and 164,872

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Solution

The fourth proportional to 254,296, 350,928.48 and 164,872 is: 227,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,296 : 350,928.48 = 164,872 : x
  2. Step 2: Convert to fraction form
    254,296/350,928.48 = 164,872/x
  3. Step 3: Cross multiply
    254,296x = 350,928.48 × 164,872
  4. Step 4: Simplify right side
    254,296x = 57,858,280,354.56
  5. Step 5: Solve for x
    x = 57,858,280,354.56/254,296
  6. Step 6: Final answer
    x = 227,523.36

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