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Finding the Fourth Proportional to 196,418.34, 294,756.64 and 107,734

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Solution

The fourth proportional to 196,418.34, 294,756.64 and 107,734 is: 161,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,418.34 : 294,756.64 = 107,734 : x
  2. Step 2: Convert to fraction form
    196,418.34/294,756.64 = 107,734/x
  3. Step 3: Cross multiply
    196,418.34x = 294,756.64 × 107,734
  4. Step 4: Simplify right side
    196,418.34x = 31,755,311,853.76
  5. Step 5: Solve for x
    x = 31,755,311,853.76/196,418.34
  6. Step 6: Final answer
    x = 161,671.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.