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Finding the Fourth Proportional to 225,846.72, 311,673.96 and 123,876.36

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Solution

The fourth proportional to 225,846.72, 311,673.96 and 123,876.36 is: 170,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,846.72 : 311,673.96 = 123,876.36 : x
  2. Step 2: Convert to fraction form
    225,846.72/311,673.96 = 123,876.36/x
  3. Step 3: Cross multiply
    225,846.72x = 311,673.96 × 123,876.36
  4. Step 4: Simplify right side
    225,846.72x = 38,609,035,671.59
  5. Step 5: Solve for x
    x = 38,609,035,671.59/225,846.72
  6. Step 6: Final answer
    x = 170,952.39

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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.