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Finding the Fourth Proportional to 196,202.13, 270,765.63 and 115,698.66

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Solution

The fourth proportional to 196,202.13, 270,765.63 and 115,698.66 is: 159,668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,202.13 : 270,765.63 = 115,698.66 : x
  2. Step 2: Convert to fraction form
    196,202.13/270,765.63 = 115,698.66/x
  3. Step 3: Cross multiply
    196,202.13x = 270,765.63 × 115,698.66
  4. Step 4: Simplify right side
    196,202.13x = 31,327,220,565.06
  5. Step 5: Solve for x
    x = 31,327,220,565.06/196,202.13
  6. Step 6: Final answer
    x = 159,668.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.