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Finding the Fourth Proportional to 196,256, 270,833.28 and 106,832

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Solution

The fourth proportional to 196,256, 270,833.28 and 106,832 is: 147,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,256 : 270,833.28 = 106,832 : x
  2. Step 2: Convert to fraction form
    196,256/270,833.28 = 106,832/x
  3. Step 3: Cross multiply
    196,256x = 270,833.28 × 106,832
  4. Step 4: Simplify right side
    196,256x = 28,933,660,968.96
  5. Step 5: Solve for x
    x = 28,933,660,968.96/196,256
  6. Step 6: Final answer
    x = 147,428.16

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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.