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Finding the Fourth Proportional to 196,263, 270,842.94 and 106,839

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Solution

The fourth proportional to 196,263, 270,842.94 and 106,839 is: 147,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,263 : 270,842.94 = 106,839 : x
  2. Step 2: Convert to fraction form
    196,263/270,842.94 = 106,839/x
  3. Step 3: Cross multiply
    196,263x = 270,842.94 × 106,839
  4. Step 4: Simplify right side
    196,263x = 28,936,588,866.66
  5. Step 5: Solve for x
    x = 28,936,588,866.66/196,263
  6. Step 6: Final answer
    x = 147,437.82

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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.