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Finding the Fourth Proportional to 267,496.80, 401,115.60 and 149,042.40

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Solution

The fourth proportional to 267,496.80, 401,115.60 and 149,042.40 is: 223,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,496.80 : 401,115.60 = 149,042.40 : x
  2. Step 2: Convert to fraction form
    267,496.80/401,115.60 = 149,042.40/x
  3. Step 3: Cross multiply
    267,496.80x = 401,115.60 × 149,042.40
  4. Step 4: Simplify right side
    267,496.80x = 59,783,231,701.44
  5. Step 5: Solve for x
    x = 59,783,231,701.44/267,496.80
  6. Step 6: Final answer
    x = 223,491.39

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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.