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Finding the Fourth Proportional to 196,291.30, 270,883.29 and 111,409.78

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Solution

The fourth proportional to 196,291.30, 270,883.29 and 111,409.78 is: 153,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,291.30 : 270,883.29 = 111,409.78 : x
  2. Step 2: Convert to fraction form
    196,291.30/270,883.29 = 111,409.78/x
  3. Step 3: Cross multiply
    196,291.30x = 270,883.29 × 111,409.78
  4. Step 4: Simplify right side
    196,291.30x = 30,179,047,744.58
  5. Step 5: Solve for x
    x = 30,179,047,744.58/196,291.30
  6. Step 6: Final answer
    x = 153,746.23

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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.