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Finding the Fourth Proportional to 254,179.50, 381,269.25 and 67,191

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Solution

The fourth proportional to 254,179.50, 381,269.25 and 67,191 is: 100,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,179.50 : 381,269.25 = 67,191 : x
  2. Step 2: Convert to fraction form
    254,179.50/381,269.25 = 67,191/x
  3. Step 3: Cross multiply
    254,179.50x = 381,269.25 × 67,191
  4. Step 4: Simplify right side
    254,179.50x = 25,617,862,176.75
  5. Step 5: Solve for x
    x = 25,617,862,176.75/254,179.50
  6. Step 6: Final answer
    x = 100,786.50

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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.