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Finding the Fourth Proportional to 254,755.80, 382,137.30 and 96,992.88

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Solution

The fourth proportional to 254,755.80, 382,137.30 and 96,992.88 is: 145,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,755.80 : 382,137.30 = 96,992.88 : x
  2. Step 2: Convert to fraction form
    254,755.80/382,137.30 = 96,992.88/x
  3. Step 3: Cross multiply
    254,755.80x = 382,137.30 × 96,992.88
  4. Step 4: Simplify right side
    254,755.80x = 37,064,597,282.42
  5. Step 5: Solve for x
    x = 37,064,597,282.42/254,755.80
  6. Step 6: Final answer
    x = 145,490.69

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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.