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Finding the Fourth Proportional to 312,754.75, 468,954.39 and 123,112.41

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Solution

The fourth proportional to 312,754.75, 468,954.39 and 123,112.41 is: 184,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,754.75 : 468,954.39 = 123,112.41 : x
  2. Step 2: Convert to fraction form
    312,754.75/468,954.39 = 123,112.41/x
  3. Step 3: Cross multiply
    312,754.75x = 468,954.39 × 123,112.41
  4. Step 4: Simplify right side
    312,754.75x = 57,734,103,836.07
  5. Step 5: Solve for x
    x = 57,734,103,836.07/312,754.75
  6. Step 6: Final answer
    x = 184,598.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.