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Finding the Fourth Proportional to 213,046.80, 319,181.40 and 129,843.60

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Solution

The fourth proportional to 213,046.80, 319,181.40 and 129,843.60 is: 194,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,046.80 : 319,181.40 = 129,843.60 : x
  2. Step 2: Convert to fraction form
    213,046.80/319,181.40 = 129,843.60/x
  3. Step 3: Cross multiply
    213,046.80x = 319,181.40 × 129,843.60
  4. Step 4: Simplify right side
    213,046.80x = 41,443,662,029.04
  5. Step 5: Solve for x
    x = 41,443,662,029.04/213,046.80
  6. Step 6: Final answer
    x = 194,528.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.