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Finding the Fourth Proportional to 277,027.49, 382,297.94 and 149,703.09

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Solution

The fourth proportional to 277,027.49, 382,297.94 and 149,703.09 is: 206,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,027.49 : 382,297.94 = 149,703.09 : x
  2. Step 2: Convert to fraction form
    277,027.49/382,297.94 = 149,703.09/x
  3. Step 3: Cross multiply
    277,027.49x = 382,297.94 × 149,703.09
  4. Step 4: Simplify right side
    277,027.49x = 57,231,182,918.63
  5. Step 5: Solve for x
    x = 57,231,182,918.63/277,027.49
  6. Step 6: Final answer
    x = 206,590.27

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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.