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Finding the Fourth Proportional to 195,800.64, 270,205.44 and 106,376.64

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Solution

The fourth proportional to 195,800.64, 270,205.44 and 106,376.64 is: 146,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,800.64 : 270,205.44 = 106,376.64 : x
  2. Step 2: Convert to fraction form
    195,800.64/270,205.44 = 106,376.64/x
  3. Step 3: Cross multiply
    195,800.64x = 270,205.44 × 106,376.64
  4. Step 4: Simplify right side
    195,800.64x = 28,743,546,816.92
  5. Step 5: Solve for x
    x = 28,743,546,816.92/195,800.64
  6. Step 6: Final answer
    x = 146,800.07

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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.