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Finding the Fourth Proportional to 195,745.50, 270,129.06 and 106,321.50

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Solution

The fourth proportional to 195,745.50, 270,129.06 and 106,321.50 is: 146,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,745.50 : 270,129.06 = 106,321.50 : x
  2. Step 2: Convert to fraction form
    195,745.50/270,129.06 = 106,321.50/x
  3. Step 3: Cross multiply
    195,745.50x = 270,129.06 × 106,321.50
  4. Step 4: Simplify right side
    195,745.50x = 28,720,526,852.79
  5. Step 5: Solve for x
    x = 28,720,526,852.79/195,745.50
  6. Step 6: Final answer
    x = 146,723.82

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1.5x scale

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.