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Finding the Fourth Proportional to 196,261, 270,840.18 and 106,837

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Solution

The fourth proportional to 196,261, 270,840.18 and 106,837 is: 147,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,261 : 270,840.18 = 106,837 : x
  2. Step 2: Convert to fraction form
    196,261/270,840.18 = 106,837/x
  3. Step 3: Cross multiply
    196,261x = 270,840.18 × 106,837
  4. Step 4: Simplify right side
    196,261x = 28,935,752,310.66
  5. Step 5: Solve for x
    x = 28,935,752,310.66/196,261
  6. Step 6: Final answer
    x = 147,435.06

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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.