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Finding the Fourth Proportional to 276,198.48, 414,605.16 and 143,043.12

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Solution

The fourth proportional to 276,198.48, 414,605.16 and 143,043.12 is: 214,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,198.48 : 414,605.16 = 143,043.12 : x
  2. Step 2: Convert to fraction form
    276,198.48/414,605.16 = 143,043.12/x
  3. Step 3: Cross multiply
    276,198.48x = 414,605.16 × 143,043.12
  4. Step 4: Simplify right side
    276,198.48x = 59,306,415,654.50
  5. Step 5: Solve for x
    x = 59,306,415,654.50/276,198.48
  6. Step 6: Final answer
    x = 214,723.90

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1.5x scale

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.