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Finding the Fourth Proportional to 225,947.70, 311,797.26 and 123,970.86

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Solution

The fourth proportional to 225,947.70, 311,797.26 and 123,970.86 is: 171,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,947.70 : 311,797.26 = 123,970.86 : x
  2. Step 2: Convert to fraction form
    225,947.70/311,797.26 = 123,970.86/x
  3. Step 3: Cross multiply
    225,947.70x = 311,797.26 × 123,970.86
  4. Step 4: Simplify right side
    225,947.70x = 38,653,774,467.84
  5. Step 5: Solve for x
    x = 38,653,774,467.84/225,947.70
  6. Step 6: Final answer
    x = 171,073.99

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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.