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Finding the Fourth Proportional to 195,791.40, 293,698.26 and 55,539

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Solution

The fourth proportional to 195,791.40, 293,698.26 and 55,539 is: 83,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,791.40 : 293,698.26 = 55,539 : x
  2. Step 2: Convert to fraction form
    195,791.40/293,698.26 = 55,539/x
  3. Step 3: Cross multiply
    195,791.40x = 293,698.26 × 55,539
  4. Step 4: Simplify right side
    195,791.40x = 16,311,707,662.14
  5. Step 5: Solve for x
    x = 16,311,707,662.14/195,791.40
  6. Step 6: Final answer
    x = 83,311.67

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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.