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Finding the Fourth Proportional to 195,930.56, 270,389.76 and 119,454.08

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Solution

The fourth proportional to 195,930.56, 270,389.76 and 119,454.08 is: 164,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,930.56 : 270,389.76 = 119,454.08 : x
  2. Step 2: Convert to fraction form
    195,930.56/270,389.76 = 119,454.08/x
  3. Step 3: Cross multiply
    195,930.56x = 270,389.76 × 119,454.08
  4. Step 4: Simplify right side
    195,930.56x = 32,299,160,022.22
  5. Step 5: Solve for x
    x = 32,299,160,022.22/195,930.56
  6. Step 6: Final answer
    x = 164,850.04

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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.