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Finding the Fourth Proportional to 254,517.84, 381,724.92 and 96,690.96

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Solution

The fourth proportional to 254,517.84, 381,724.92 and 96,690.96 is: 145,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,517.84 : 381,724.92 = 96,690.96 : x
  2. Step 2: Convert to fraction form
    254,517.84/381,724.92 = 96,690.96/x
  3. Step 3: Cross multiply
    254,517.84x = 381,724.92 × 96,690.96
  4. Step 4: Simplify right side
    254,517.84x = 36,909,348,970.72
  5. Step 5: Solve for x
    x = 36,909,348,970.72/254,517.84
  6. Step 6: Final answer
    x = 145,016.75

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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.