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Finding the Fourth Proportional to 275,770.98, 413,554.41 and 98,230.86

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Solution

The fourth proportional to 275,770.98, 413,554.41 and 98,230.86 is: 147,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,770.98 : 413,554.41 = 98,230.86 : x
  2. Step 2: Convert to fraction form
    275,770.98/413,554.41 = 98,230.86/x
  3. Step 3: Cross multiply
    275,770.98x = 413,554.41 × 98,230.86
  4. Step 4: Simplify right side
    275,770.98x = 40,623,805,351.09
  5. Step 5: Solve for x
    x = 40,623,805,351.09/275,770.98
  6. Step 6: Final answer
    x = 147,309.94

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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.