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Finding the Fourth Proportional to 183,290.78, 274,882.23 and 55,201.82

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Solution

The fourth proportional to 183,290.78, 274,882.23 and 55,201.82 is: 82,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,290.78 : 274,882.23 = 55,201.82 : x
  2. Step 2: Convert to fraction form
    183,290.78/274,882.23 = 55,201.82/x
  3. Step 3: Cross multiply
    183,290.78x = 274,882.23 × 55,201.82
  4. Step 4: Simplify right side
    183,290.78x = 15,173,999,381.66
  5. Step 5: Solve for x
    x = 15,173,999,381.66/183,290.78
  6. Step 6: Final answer
    x = 82,786.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.