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Finding the Fourth Proportional to 296,092.98, 444,135.33 and 71,451.54

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Solution

The fourth proportional to 296,092.98, 444,135.33 and 71,451.54 is: 107,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,092.98 : 444,135.33 = 71,451.54 : x
  2. Step 2: Convert to fraction form
    296,092.98/444,135.33 = 71,451.54/x
  3. Step 3: Cross multiply
    296,092.98x = 444,135.33 × 71,451.54
  4. Step 4: Simplify right side
    296,092.98x = 31,734,153,296.91
  5. Step 5: Solve for x
    x = 31,734,153,296.91/296,092.98
  6. Step 6: Final answer
    x = 107,176.31

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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.