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Finding the Fourth Proportional to 214,561.68, 296,105.22 and 119,069.16

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Solution

The fourth proportional to 214,561.68, 296,105.22 and 119,069.16 is: 164,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,561.68 : 296,105.22 = 119,069.16 : x
  2. Step 2: Convert to fraction form
    214,561.68/296,105.22 = 119,069.16/x
  3. Step 3: Cross multiply
    214,561.68x = 296,105.22 × 119,069.16
  4. Step 4: Simplify right side
    214,561.68x = 35,256,999,817.02
  5. Step 5: Solve for x
    x = 35,256,999,817.02/214,561.68
  6. Step 6: Final answer
    x = 164,321.05

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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.