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Finding the Fourth Proportional to 276,183.52, 414,362.32 and 98,686.56

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Solution

The fourth proportional to 276,183.52, 414,362.32 and 98,686.56 is: 148,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,183.52 : 414,362.32 = 98,686.56 : x
  2. Step 2: Convert to fraction form
    276,183.52/414,362.32 = 98,686.56/x
  3. Step 3: Cross multiply
    276,183.52x = 414,362.32 × 98,686.56
  4. Step 4: Simplify right side
    276,183.52x = 40,891,991,954.42
  5. Step 5: Solve for x
    x = 40,891,991,954.42/276,183.52
  6. Step 6: Final answer
    x = 148,060.94

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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.