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Finding the Fourth Proportional to 274,044.49, 378,174.73 and 153,199.98

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Solution

The fourth proportional to 274,044.49, 378,174.73 and 153,199.98 is: 211,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,044.49 : 378,174.73 = 153,199.98 : x
  2. Step 2: Convert to fraction form
    274,044.49/378,174.73 = 153,199.98/x
  3. Step 3: Cross multiply
    274,044.49x = 378,174.73 × 153,199.98
  4. Step 4: Simplify right side
    274,044.49x = 57,936,361,072.51
  5. Step 5: Solve for x
    x = 57,936,361,072.51/274,044.49
  6. Step 6: Final answer
    x = 211,412.25

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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.