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Finding the Fourth Proportional to 267,420.58, 401,131.50 and 67,741

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Solution

The fourth proportional to 267,420.58, 401,131.50 and 67,741 is: 101,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,420.58 : 401,131.50 = 67,741 : x
  2. Step 2: Convert to fraction form
    267,420.58/401,131.50 = 67,741/x
  3. Step 3: Cross multiply
    267,420.58x = 401,131.50 × 67,741
  4. Step 4: Simplify right side
    267,420.58x = 27,173,048,941.50
  5. Step 5: Solve for x
    x = 27,173,048,941.50/267,420.58
  6. Step 6: Final answer
    x = 101,611.66

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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.