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Finding the Fourth Proportional to 204,910.70, 305,763.28 and 183,633.89

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Solution

The fourth proportional to 204,910.70, 305,763.28 and 183,633.89 is: 274,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,910.70 : 305,763.28 = 183,633.89 : x
  2. Step 2: Convert to fraction form
    204,910.70/305,763.28 = 183,633.89/x
  3. Step 3: Cross multiply
    204,910.70x = 305,763.28 × 183,633.89
  4. Step 4: Simplify right side
    204,910.70x = 56,148,498,537.66
  5. Step 5: Solve for x
    x = 56,148,498,537.66/204,910.70
  6. Step 6: Final answer
    x = 274,014.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.