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Finding the Fourth Proportional to 225,953.99, 311,816.34 and 123,980.05

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Solution

The fourth proportional to 225,953.99, 311,816.34 and 123,980.05 is: 171,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,953.99 : 311,816.34 = 123,980.05 : x
  2. Step 2: Convert to fraction form
    225,953.99/311,816.34 = 123,980.05/x
  3. Step 3: Cross multiply
    225,953.99x = 311,816.34 × 123,980.05
  4. Step 4: Simplify right side
    225,953.99x = 38,659,004,644.48
  5. Step 5: Solve for x
    x = 38,659,004,644.48/225,953.99
  6. Step 6: Final answer
    x = 171,092.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.