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Finding the Fourth Proportional to 230,830.44, 346,265.52 and 81,057.88

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Solution

The fourth proportional to 230,830.44, 346,265.52 and 81,057.88 is: 121,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,830.44 : 346,265.52 = 81,057.88 : x
  2. Step 2: Convert to fraction form
    230,830.44/346,265.52 = 81,057.88/x
  3. Step 3: Cross multiply
    230,830.44x = 346,265.52 × 81,057.88
  4. Step 4: Simplify right side
    230,830.44x = 28,067,548,968.30
  5. Step 5: Solve for x
    x = 28,067,548,968.30/230,830.44
  6. Step 6: Final answer
    x = 121,593.79

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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.