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Finding the Fourth Proportional to 207,816.60, 311,724.90 and 148,524.60

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Solution

The fourth proportional to 207,816.60, 311,724.90 and 148,524.60 is: 222,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,816.60 : 311,724.90 = 148,524.60 : x
  2. Step 2: Convert to fraction form
    207,816.60/311,724.90 = 148,524.60/x
  3. Step 3: Cross multiply
    207,816.60x = 311,724.90 × 148,524.60
  4. Step 4: Simplify right side
    207,816.60x = 46,298,816,082.54
  5. Step 5: Solve for x
    x = 46,298,816,082.54/207,816.60
  6. Step 6: Final answer
    x = 222,786.90

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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.