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Finding the Fourth Proportional to 225,976.31, 311,846.45 and 124,003.47

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Solution

The fourth proportional to 225,976.31, 311,846.45 and 124,003.47 is: 171,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,976.31 : 311,846.45 = 124,003.47 : x
  2. Step 2: Convert to fraction form
    225,976.31/311,846.45 = 124,003.47/x
  3. Step 3: Cross multiply
    225,976.31x = 311,846.45 × 124,003.47
  4. Step 4: Simplify right side
    225,976.31x = 38,670,041,287.16
  5. Step 5: Solve for x
    x = 38,670,041,287.16/225,976.31
  6. Step 6: Final answer
    x = 171,124.32

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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.