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Finding the Fourth Proportional to 267,467.80, 401,072.10 and 149,013.40

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Solution

The fourth proportional to 267,467.80, 401,072.10 and 149,013.40 is: 223,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,467.80 : 401,072.10 = 149,013.40 : x
  2. Step 2: Convert to fraction form
    267,467.80/401,072.10 = 149,013.40/x
  3. Step 3: Cross multiply
    267,467.80x = 401,072.10 × 149,013.40
  4. Step 4: Simplify right side
    267,467.80x = 59,765,117,266.14
  5. Step 5: Solve for x
    x = 59,765,117,266.14/267,467.80
  6. Step 6: Final answer
    x = 223,447.90

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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.