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Finding the Fourth Proportional to 259,857.20, 389,915.40 and 147,623.60

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Solution

The fourth proportional to 259,857.20, 389,915.40 and 147,623.60 is: 221,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,857.20 : 389,915.40 = 147,623.60 : x
  2. Step 2: Convert to fraction form
    259,857.20/389,915.40 = 147,623.60/x
  3. Step 3: Cross multiply
    259,857.20x = 389,915.40 × 147,623.60
  4. Step 4: Simplify right side
    259,857.20x = 57,560,715,043.44
  5. Step 5: Solve for x
    x = 57,560,715,043.44/259,857.20
  6. Step 6: Final answer
    x = 221,509.03

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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.