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Finding the Fourth Proportional to 225,793.76, 311,599 and 123,828.56

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Solution

The fourth proportional to 225,793.76, 311,599 and 123,828.56 is: 170,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,793.76 : 311,599 = 123,828.56 : x
  2. Step 2: Convert to fraction form
    225,793.76/311,599 = 123,828.56/x
  3. Step 3: Cross multiply
    225,793.76x = 311,599 × 123,828.56
  4. Step 4: Simplify right side
    225,793.76x = 38,584,855,467.44
  5. Step 5: Solve for x
    x = 38,584,855,467.44/225,793.76
  6. Step 6: Final answer
    x = 170,885.39

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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.