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Finding the Fourth Proportional to 192,003.90, 264,964.84 and 105,962.26

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Solution

The fourth proportional to 192,003.90, 264,964.84 and 105,962.26 is: 146,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,003.90 : 264,964.84 = 105,962.26 : x
  2. Step 2: Convert to fraction form
    192,003.90/264,964.84 = 105,962.26/x
  3. Step 3: Cross multiply
    192,003.90x = 264,964.84 × 105,962.26
  4. Step 4: Simplify right side
    192,003.90x = 28,076,272,339.62
  5. Step 5: Solve for x
    x = 28,076,272,339.62/192,003.90
  6. Step 6: Final answer
    x = 146,227.61

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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.