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Finding the Fourth Proportional to 196,268.34, 270,849.54 and 110,215.38

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Solution

The fourth proportional to 196,268.34, 270,849.54 and 110,215.38 is: 152,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,268.34 : 270,849.54 = 110,215.38 : x
  2. Step 2: Convert to fraction form
    196,268.34/270,849.54 = 110,215.38/x
  3. Step 3: Cross multiply
    196,268.34x = 270,849.54 × 110,215.38
  4. Step 4: Simplify right side
    196,268.34x = 29,851,784,973.93
  5. Step 5: Solve for x
    x = 29,851,784,973.93/196,268.34
  6. Step 6: Final answer
    x = 152,096.79

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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.