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Finding the Fourth Proportional to 267,782.72, 401,654.56 and 109,968.32

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Solution

The fourth proportional to 267,782.72, 401,654.56 and 109,968.32 is: 164,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,782.72 : 401,654.56 = 109,968.32 : x
  2. Step 2: Convert to fraction form
    267,782.72/401,654.56 = 109,968.32/x
  3. Step 3: Cross multiply
    267,782.72x = 401,654.56 × 109,968.32
  4. Step 4: Simplify right side
    267,782.72x = 44,169,277,183.54
  5. Step 5: Solve for x
    x = 44,169,277,183.54/267,782.72
  6. Step 6: Final answer
    x = 164,944.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.