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Finding the Fourth Proportional to 214,620.80, 296,190.16 and 119,129.10

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Solution

The fourth proportional to 214,620.80, 296,190.16 and 119,129.10 is: 164,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,620.80 : 296,190.16 = 119,129.10 : x
  2. Step 2: Convert to fraction form
    214,620.80/296,190.16 = 119,129.10/x
  3. Step 3: Cross multiply
    214,620.80x = 296,190.16 × 119,129.10
  4. Step 4: Simplify right side
    214,620.80x = 35,284,867,189.66
  5. Step 5: Solve for x
    x = 35,284,867,189.66/214,620.80
  6. Step 6: Final answer
    x = 164,405.63

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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.