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Finding the Fourth Proportional to 206,276.80, 309,703.20 and 131,857.60

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Solution

The fourth proportional to 206,276.80, 309,703.20 and 131,857.60 is: 197,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,276.80 : 309,703.20 = 131,857.60 : x
  2. Step 2: Convert to fraction form
    206,276.80/309,703.20 = 131,857.60/x
  3. Step 3: Cross multiply
    206,276.80x = 309,703.20 × 131,857.60
  4. Step 4: Simplify right side
    206,276.80x = 40,836,720,664.32
  5. Step 5: Solve for x
    x = 40,836,720,664.32/206,276.80
  6. Step 6: Final answer
    x = 197,970.50

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