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Finding the Fourth Proportional to 196,377.57, 270,993.96 and 120,024.45

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Solution

The fourth proportional to 196,377.57, 270,993.96 and 120,024.45 is: 165,629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,377.57 : 270,993.96 = 120,024.45 : x
  2. Step 2: Convert to fraction form
    196,377.57/270,993.96 = 120,024.45/x
  3. Step 3: Cross multiply
    196,377.57x = 270,993.96 × 120,024.45
  4. Step 4: Simplify right side
    196,377.57x = 32,525,901,002.32
  5. Step 5: Solve for x
    x = 32,525,901,002.32/196,377.57
  6. Step 6: Final answer
    x = 165,629.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.