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Finding the Fourth Proportional to 275,425.20, 413,137.80 and 98,132.40

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Solution

The fourth proportional to 275,425.20, 413,137.80 and 98,132.40 is: 147,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,425.20 : 413,137.80 = 98,132.40 : x
  2. Step 2: Convert to fraction form
    275,425.20/413,137.80 = 98,132.40/x
  3. Step 3: Cross multiply
    275,425.20x = 413,137.80 × 98,132.40
  4. Step 4: Simplify right side
    275,425.20x = 40,542,203,844.72
  5. Step 5: Solve for x
    x = 40,542,203,844.72/275,425.20
  6. Step 6: Final answer
    x = 147,198.60

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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.