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Finding the Fourth Proportional to 194,401, 268,273.38 and 104,977

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Solution

The fourth proportional to 194,401, 268,273.38 and 104,977 is: 144,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,401 : 268,273.38 = 104,977 : x
  2. Step 2: Convert to fraction form
    194,401/268,273.38 = 104,977/x
  3. Step 3: Cross multiply
    194,401x = 268,273.38 × 104,977
  4. Step 4: Simplify right side
    194,401x = 28,162,534,612.26
  5. Step 5: Solve for x
    x = 28,162,534,612.26/194,401
  6. Step 6: Final answer
    x = 144,868.26

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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.