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Finding the Fourth Proportional to 225,982.84, 311,855.46 and 124,010

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Solution

The fourth proportional to 225,982.84, 311,855.46 and 124,010 is: 171,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,982.84 : 311,855.46 = 124,010 : x
  2. Step 2: Convert to fraction form
    225,982.84/311,855.46 = 124,010/x
  3. Step 3: Cross multiply
    225,982.84x = 311,855.46 × 124,010
  4. Step 4: Simplify right side
    225,982.84x = 38,673,195,594.60
  5. Step 5: Solve for x
    x = 38,673,195,594.60/225,982.84
  6. Step 6: Final answer
    x = 171,133.33

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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.