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Finding the Fourth Proportional to 206,232.80, 309,637.20 and 131,813.60

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Solution

The fourth proportional to 206,232.80, 309,637.20 and 131,813.60 is: 197,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,232.80 : 309,637.20 = 131,813.60 : x
  2. Step 2: Convert to fraction form
    206,232.80/309,637.20 = 131,813.60/x
  3. Step 3: Cross multiply
    206,232.80x = 309,637.20 × 131,813.60
  4. Step 4: Simplify right side
    206,232.80x = 40,814,394,025.92
  5. Step 5: Solve for x
    x = 40,814,394,025.92/206,232.80
  6. Step 6: Final answer
    x = 197,904.48

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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.