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Finding the Fourth Proportional to 194,843.40, 268,911 and 114,297

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Solution

The fourth proportional to 194,843.40, 268,911 and 114,297 is: 157,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,843.40 : 268,911 = 114,297 : x
  2. Step 2: Convert to fraction form
    194,843.40/268,911 = 114,297/x
  3. Step 3: Cross multiply
    194,843.40x = 268,911 × 114,297
  4. Step 4: Simplify right side
    194,843.40x = 30,735,720,567
  5. Step 5: Solve for x
    x = 30,735,720,567/194,843.40
  6. Step 6: Final answer
    x = 157,745.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.