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Finding the Fourth Proportional to 230,922.30, 318,745.35 and 135,467.58

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Solution

The fourth proportional to 230,922.30, 318,745.35 and 135,467.58 is: 186,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,922.30 : 318,745.35 = 135,467.58 : x
  2. Step 2: Convert to fraction form
    230,922.30/318,745.35 = 135,467.58/x
  3. Step 3: Cross multiply
    230,922.30x = 318,745.35 × 135,467.58
  4. Step 4: Simplify right side
    230,922.30x = 43,179,661,200.75
  5. Step 5: Solve for x
    x = 43,179,661,200.75/230,922.30
  6. Step 6: Final answer
    x = 186,987.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.