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Finding the Fourth Proportional to 192,053.80, 288,042.30 and 92,213.80

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Solution

The fourth proportional to 192,053.80, 288,042.30 and 92,213.80 is: 138,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,053.80 : 288,042.30 = 92,213.80 : x
  2. Step 2: Convert to fraction form
    192,053.80/288,042.30 = 92,213.80/x
  3. Step 3: Cross multiply
    192,053.80x = 288,042.30 × 92,213.80
  4. Step 4: Simplify right side
    192,053.80x = 26,561,475,043.74
  5. Step 5: Solve for x
    x = 26,561,475,043.74/192,053.80
  6. Step 6: Final answer
    x = 138,302.26

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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.