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Finding the Fourth Proportional to 275,771.98, 413,555.91 and 98,231.86

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Solution

The fourth proportional to 275,771.98, 413,555.91 and 98,231.86 is: 147,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,771.98 : 413,555.91 = 98,231.86 : x
  2. Step 2: Convert to fraction form
    275,771.98/413,555.91 = 98,231.86/x
  3. Step 3: Cross multiply
    275,771.98x = 413,555.91 × 98,231.86
  4. Step 4: Simplify right side
    275,771.98x = 40,624,366,253.29
  5. Step 5: Solve for x
    x = 40,624,366,253.29/275,771.98
  6. Step 6: Final answer
    x = 147,311.44

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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.