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Finding the Fourth Proportional to 170,782.80, 256,174.20 and 120,919.20

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Solution

The fourth proportional to 170,782.80, 256,174.20 and 120,919.20 is: 181,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,782.80 : 256,174.20 = 120,919.20 : x
  2. Step 2: Convert to fraction form
    170,782.80/256,174.20 = 120,919.20/x
  3. Step 3: Cross multiply
    170,782.80x = 256,174.20 × 120,919.20
  4. Step 4: Simplify right side
    170,782.80x = 30,976,379,324.64
  5. Step 5: Solve for x
    x = 30,976,379,324.64/170,782.80
  6. Step 6: Final answer
    x = 181,378.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.