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Finding the Fourth Proportional to 195,266, 269,467.26 and 105,842

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Solution

The fourth proportional to 195,266, 269,467.26 and 105,842 is: 146,062.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,266 : 269,467.26 = 105,842 : x
  2. Step 2: Convert to fraction form
    195,266/269,467.26 = 105,842/x
  3. Step 3: Cross multiply
    195,266x = 269,467.26 × 105,842
  4. Step 4: Simplify right side
    195,266x = 28,520,953,732.92
  5. Step 5: Solve for x
    x = 28,520,953,732.92/195,266
  6. Step 6: Final answer
    x = 146,062.06

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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.