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Finding the Fourth Proportional to 216,453.80, 298,705.38 and 120,960.48

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Solution

The fourth proportional to 216,453.80, 298,705.38 and 120,960.48 is: 166,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,453.80 : 298,705.38 = 120,960.48 : x
  2. Step 2: Convert to fraction form
    216,453.80/298,705.38 = 120,960.48/x
  3. Step 3: Cross multiply
    216,453.80x = 298,705.38 × 120,960.48
  4. Step 4: Simplify right side
    216,453.80x = 36,131,546,143.38
  5. Step 5: Solve for x
    x = 36,131,546,143.38/216,453.80
  6. Step 6: Final answer
    x = 166,924.98

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Why These Related Problems?

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