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Finding the Fourth Proportional to 267,024, 368,493.48 and 166,422

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Solution

The fourth proportional to 267,024, 368,493.48 and 166,422 is: 229,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,024 : 368,493.48 = 166,422 : x
  2. Step 2: Convert to fraction form
    267,024/368,493.48 = 166,422/x
  3. Step 3: Cross multiply
    267,024x = 368,493.48 × 166,422
  4. Step 4: Simplify right side
    267,024x = 61,325,421,928.56
  5. Step 5: Solve for x
    x = 61,325,421,928.56/267,024
  6. Step 6: Final answer
    x = 229,662.58

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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.