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Finding the Fourth Proportional to 267,401.14, 401,014.22 and 125,202.40

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Solution

The fourth proportional to 267,401.14, 401,014.22 and 125,202.40 is: 187,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,401.14 : 401,014.22 = 125,202.40 : x
  2. Step 2: Convert to fraction form
    267,401.14/401,014.22 = 125,202.40/x
  3. Step 3: Cross multiply
    267,401.14x = 401,014.22 × 125,202.40
  4. Step 4: Simplify right side
    267,401.14x = 50,207,942,778.13
  5. Step 5: Solve for x
    x = 50,207,942,778.13/267,401.14
  6. Step 6: Final answer
    x = 187,762.64

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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.