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Finding the Fourth Proportional to 206,816.40, 310,224.60 and 135,957.60

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Solution

The fourth proportional to 206,816.40, 310,224.60 and 135,957.60 is: 203,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,816.40 : 310,224.60 = 135,957.60 : x
  2. Step 2: Convert to fraction form
    206,816.40/310,224.60 = 135,957.60/x
  3. Step 3: Cross multiply
    206,816.40x = 310,224.60 × 135,957.60
  4. Step 4: Simplify right side
    206,816.40x = 42,177,392,076.96
  5. Step 5: Solve for x
    x = 42,177,392,076.96/206,816.40
  6. Step 6: Final answer
    x = 203,936.40

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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.