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Finding the Fourth Proportional to 271,507.44, 407,261.66 and 111,471.94

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Solution

The fourth proportional to 271,507.44, 407,261.66 and 111,471.94 is: 167,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,507.44 : 407,261.66 = 111,471.94 : x
  2. Step 2: Convert to fraction form
    271,507.44/407,261.66 = 111,471.94/x
  3. Step 3: Cross multiply
    271,507.44x = 407,261.66 × 111,471.94
  4. Step 4: Simplify right side
    271,507.44x = 45,398,247,327.82
  5. Step 5: Solve for x
    x = 45,398,247,327.82/271,507.44
  6. Step 6: Final answer
    x = 167,208.12

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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.