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Finding the Fourth Proportional to 216,460.34, 298,716.37 and 120,968.63

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Solution

The fourth proportional to 216,460.34, 298,716.37 and 120,968.63 is: 166,937.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,460.34 : 298,716.37 = 120,968.63 : x
  2. Step 2: Convert to fraction form
    216,460.34/298,716.37 = 120,968.63/x
  3. Step 3: Cross multiply
    216,460.34x = 298,716.37 × 120,968.63
  4. Step 4: Simplify right side
    216,460.34x = 36,135,310,042.10
  5. Step 5: Solve for x
    x = 36,135,310,042.10/216,460.34
  6. Step 6: Final answer
    x = 166,937.33

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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.