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Finding the Fourth Proportional to 267,989.40, 401,838.30 and 110,233.80

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Solution

The fourth proportional to 267,989.40, 401,838.30 and 110,233.80 is: 165,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,989.40 : 401,838.30 = 110,233.80 : x
  2. Step 2: Convert to fraction form
    267,989.40/401,838.30 = 110,233.80/x
  3. Step 3: Cross multiply
    267,989.40x = 401,838.30 × 110,233.80
  4. Step 4: Simplify right side
    267,989.40x = 44,296,162,794.54
  5. Step 5: Solve for x
    x = 44,296,162,794.54/267,989.40
  6. Step 6: Final answer
    x = 165,290.73

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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.