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Finding the Fourth Proportional to 195,766.94, 270,134.30 and 119,258.28

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Solution

The fourth proportional to 195,766.94, 270,134.30 and 119,258.28 is: 164,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,766.94 : 270,134.30 = 119,258.28 : x
  2. Step 2: Convert to fraction form
    195,766.94/270,134.30 = 119,258.28/x
  3. Step 3: Cross multiply
    195,766.94x = 270,134.30 × 119,258.28
  4. Step 4: Simplify right side
    195,766.94x = 32,215,751,390.71
  5. Step 5: Solve for x
    x = 32,215,751,390.71/195,766.94
  6. Step 6: Final answer
    x = 164,561.76

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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.