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Finding the Fourth Proportional to 254,069.88, 381,104.79 and 67,083

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Solution

The fourth proportional to 254,069.88, 381,104.79 and 67,083 is: 100,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,069.88 : 381,104.79 = 67,083 : x
  2. Step 2: Convert to fraction form
    254,069.88/381,104.79 = 67,083/x
  3. Step 3: Cross multiply
    254,069.88x = 381,104.79 × 67,083
  4. Step 4: Simplify right side
    254,069.88x = 25,565,652,627.57
  5. Step 5: Solve for x
    x = 25,565,652,627.57/254,069.88
  6. Step 6: Final answer
    x = 100,624.49

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1.5x scale

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.