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Finding the Fourth Proportional to 270,961.53, 406,694.48 and 137,941.37

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Solution

The fourth proportional to 270,961.53, 406,694.48 and 137,941.37 is: 207,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,961.53 : 406,694.48 = 137,941.37 : x
  2. Step 2: Convert to fraction form
    270,961.53/406,694.48 = 137,941.37/x
  3. Step 3: Cross multiply
    270,961.53x = 406,694.48 × 137,941.37
  4. Step 4: Simplify right side
    270,961.53x = 56,099,991,019.46
  5. Step 5: Solve for x
    x = 56,099,991,019.46/270,961.53
  6. Step 6: Final answer
    x = 207,040.43

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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.