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Finding the Fourth Proportional to 206,469.80, 308,052.16 and 184,016.60

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Solution

The fourth proportional to 206,469.80, 308,052.16 and 184,016.60 is: 274,552.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469.80 : 308,052.16 = 184,016.60 : x
  2. Step 2: Convert to fraction form
    206,469.80/308,052.16 = 184,016.60/x
  3. Step 3: Cross multiply
    206,469.80x = 308,052.16 × 184,016.60
  4. Step 4: Simplify right side
    206,469.80x = 56,686,711,105.86
  5. Step 5: Solve for x
    x = 56,686,711,105.86/206,469.80
  6. Step 6: Final answer
    x = 274,552.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.