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Finding the Fourth Proportional to 196,182, 270,732.24 and 106,758

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Solution

The fourth proportional to 196,182, 270,732.24 and 106,758 is: 147,326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,182 : 270,732.24 = 106,758 : x
  2. Step 2: Convert to fraction form
    196,182/270,732.24 = 106,758/x
  3. Step 3: Cross multiply
    196,182x = 270,732.24 × 106,758
  4. Step 4: Simplify right side
    196,182x = 28,902,832,477.92
  5. Step 5: Solve for x
    x = 28,902,832,477.92/196,182
  6. Step 6: Final answer
    x = 147,326.63

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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.