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Finding the Fourth Proportional to 271,713.78, 407,589.39 and 113,783.22

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Solution

The fourth proportional to 271,713.78, 407,589.39 and 113,783.22 is: 170,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,713.78 : 407,589.39 = 113,783.22 : x
  2. Step 2: Convert to fraction form
    271,713.78/407,589.39 = 113,783.22/x
  3. Step 3: Cross multiply
    271,713.78x = 407,589.39 × 113,783.22
  4. Step 4: Simplify right side
    271,713.78x = 46,376,833,232.04
  5. Step 5: Solve for x
    x = 46,376,833,232.04/271,713.78
  6. Step 6: Final answer
    x = 170,682.67

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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.