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Finding the Fourth Proportional to 293,761.44, 440,668.08 and 106,722.72

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Solution

The fourth proportional to 293,761.44, 440,668.08 and 106,722.72 is: 160,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,761.44 : 440,668.08 = 106,722.72 : x
  2. Step 2: Convert to fraction form
    293,761.44/440,668.08 = 106,722.72/x
  3. Step 3: Cross multiply
    293,761.44x = 440,668.08 × 106,722.72
  4. Step 4: Simplify right side
    293,761.44x = 47,029,296,114.78
  5. Step 5: Solve for x
    x = 47,029,296,114.78/293,761.44
  6. Step 6: Final answer
    x = 160,093.50

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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.