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Finding the Fourth Proportional to 216,352.36, 298,546.50 and 120,845.80

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Solution

The fourth proportional to 216,352.36, 298,546.50 and 120,845.80 is: 166,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,352.36 : 298,546.50 = 120,845.80 : x
  2. Step 2: Convert to fraction form
    216,352.36/298,546.50 = 120,845.80/x
  3. Step 3: Cross multiply
    216,352.36x = 298,546.50 × 120,845.80
  4. Step 4: Simplify right side
    216,352.36x = 36,078,090,629.70
  5. Step 5: Solve for x
    x = 36,078,090,629.70/216,352.36
  6. Step 6: Final answer
    x = 166,756.17

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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.