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Finding the Fourth Proportional to 206,578.80, 309,430.80 and 180,334.80

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Solution

The fourth proportional to 206,578.80, 309,430.80 and 180,334.80 is: 270,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,578.80 : 309,430.80 = 180,334.80 : x
  2. Step 2: Convert to fraction form
    206,578.80/309,430.80 = 180,334.80/x
  3. Step 3: Cross multiply
    206,578.80x = 309,430.80 × 180,334.80
  4. Step 4: Simplify right side
    206,578.80x = 55,801,141,431.84
  5. Step 5: Solve for x
    x = 55,801,141,431.84/206,578.80
  6. Step 6: Final answer
    x = 270,120.37

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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.