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Finding the Fourth Proportional to 192,042.78, 288,069.44 and 51,801

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Solution

The fourth proportional to 192,042.78, 288,069.44 and 51,801 is: 77,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,042.78 : 288,069.44 = 51,801 : x
  2. Step 2: Convert to fraction form
    192,042.78/288,069.44 = 51,801/x
  3. Step 3: Cross multiply
    192,042.78x = 288,069.44 × 51,801
  4. Step 4: Simplify right side
    192,042.78x = 14,922,284,802.44
  5. Step 5: Solve for x
    x = 14,922,284,802.44/192,042.78
  6. Step 6: Final answer
    x = 77,702.92

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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.