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Finding the Fourth Proportional to 277,163.31, 382,486.28 and 149,839.82

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Solution

The fourth proportional to 277,163.31, 382,486.28 and 149,839.82 is: 206,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,163.31 : 382,486.28 = 149,839.82 : x
  2. Step 2: Convert to fraction form
    277,163.31/382,486.28 = 149,839.82/x
  3. Step 3: Cross multiply
    277,163.31x = 382,486.28 × 149,839.82
  4. Step 4: Simplify right side
    277,163.31x = 57,311,675,347.67
  5. Step 5: Solve for x
    x = 57,311,675,347.67/277,163.31
  6. Step 6: Final answer
    x = 206,779.44

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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.