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Finding the Fourth Proportional to 230,452, 318,023.84 and 129,853.60

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Solution

The fourth proportional to 230,452, 318,023.84 and 129,853.60 is: 179,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,452 : 318,023.84 = 129,853.60 : x
  2. Step 2: Convert to fraction form
    230,452/318,023.84 = 129,853.60/x
  3. Step 3: Cross multiply
    230,452x = 318,023.84 × 129,853.60
  4. Step 4: Simplify right side
    230,452x = 41,296,540,509.82
  5. Step 5: Solve for x
    x = 41,296,540,509.82/230,452
  6. Step 6: Final answer
    x = 179,198.01

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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.