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Finding the Fourth Proportional to 274,083.94, 378,238.66 and 153,231.94

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Solution

The fourth proportional to 274,083.94, 378,238.66 and 153,231.94 is: 211,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,083.94 : 378,238.66 = 153,231.94 : x
  2. Step 2: Convert to fraction form
    274,083.94/378,238.66 = 153,231.94/x
  3. Step 3: Cross multiply
    274,083.94x = 378,238.66 × 153,231.94
  4. Step 4: Simplify right side
    274,083.94x = 57,958,243,654.80
  5. Step 5: Solve for x
    x = 57,958,243,654.80/274,083.94
  6. Step 6: Final answer
    x = 211,461.66

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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.