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Finding the Fourth Proportional to 267,022, 368,490.72 and 166,420

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Solution

The fourth proportional to 267,022, 368,490.72 and 166,420 is: 229,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,022 : 368,490.72 = 166,420 : x
  2. Step 2: Convert to fraction form
    267,022/368,490.72 = 166,420/x
  3. Step 3: Cross multiply
    267,022x = 368,490.72 × 166,420
  4. Step 4: Simplify right side
    267,022x = 61,324,225,622.40
  5. Step 5: Solve for x
    x = 61,324,225,622.40/267,022
  6. Step 6: Final answer
    x = 229,659.82

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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.