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Finding the Fourth Proportional to 205,816.20, 308,724.30 and 193,374.60

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Solution

The fourth proportional to 205,816.20, 308,724.30 and 193,374.60 is: 290,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,816.20 : 308,724.30 = 193,374.60 : x
  2. Step 2: Convert to fraction form
    205,816.20/308,724.30 = 193,374.60/x
  3. Step 3: Cross multiply
    205,816.20x = 308,724.30 × 193,374.60
  4. Step 4: Simplify right side
    205,816.20x = 59,699,438,022.78
  5. Step 5: Solve for x
    x = 59,699,438,022.78/205,816.20
  6. Step 6: Final answer
    x = 290,061.90

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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.