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Finding the Fourth Proportional to 195,859.20, 270,283.20 and 106,435.20

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Solution

The fourth proportional to 195,859.20, 270,283.20 and 106,435.20 is: 146,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,859.20 : 270,283.20 = 106,435.20 : x
  2. Step 2: Convert to fraction form
    195,859.20/270,283.20 = 106,435.20/x
  3. Step 3: Cross multiply
    195,859.20x = 270,283.20 × 106,435.20
  4. Step 4: Simplify right side
    195,859.20x = 28,767,646,448.64
  5. Step 5: Solve for x
    x = 28,767,646,448.64/195,859.20
  6. Step 6: Final answer
    x = 146,879.22

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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.