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Finding the Fourth Proportional to 277,301.41, 382,676.20 and 149,977

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Solution

The fourth proportional to 277,301.41, 382,676.20 and 149,977 is: 206,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,301.41 : 382,676.20 = 149,977 : x
  2. Step 2: Convert to fraction form
    277,301.41/382,676.20 = 149,977/x
  3. Step 3: Cross multiply
    277,301.41x = 382,676.20 × 149,977
  4. Step 4: Simplify right side
    277,301.41x = 57,392,628,447.40
  5. Step 5: Solve for x
    x = 57,392,628,447.40/277,301.41
  6. Step 6: Final answer
    x = 206,968.40

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