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Finding the Fourth Proportional to 254,168.46, 381,255.44 and 76,677.02

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Solution

The fourth proportional to 254,168.46, 381,255.44 and 76,677.02 is: 115,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,168.46 : 381,255.44 = 76,677.02 : x
  2. Step 2: Convert to fraction form
    254,168.46/381,255.44 = 76,677.02/x
  3. Step 3: Cross multiply
    254,168.46x = 381,255.44 × 76,677.02
  4. Step 4: Simplify right side
    254,168.46x = 29,233,528,708.33
  5. Step 5: Solve for x
    x = 29,233,528,708.33/254,168.46
  6. Step 6: Final answer
    x = 115,016.35

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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.