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Finding the Fourth Proportional to 277,302, 382,676.70 and 149,977.56

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Solution

The fourth proportional to 277,302, 382,676.70 and 149,977.56 is: 206,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,302 : 382,676.70 = 149,977.56 : x
  2. Step 2: Convert to fraction form
    277,302/382,676.70 = 149,977.56/x
  3. Step 3: Cross multiply
    277,302x = 382,676.70 × 149,977.56
  4. Step 4: Simplify right side
    277,302x = 57,392,917,734.85
  5. Step 5: Solve for x
    x = 57,392,917,734.85/277,302
  6. Step 6: Final answer
    x = 206,969.00

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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.