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Finding the Fourth Proportional to 214,507.39, 296,020.24 and 119,013.85

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Solution

The fourth proportional to 214,507.39, 296,020.24 and 119,013.85 is: 164,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,507.39 : 296,020.24 = 119,013.85 : x
  2. Step 2: Convert to fraction form
    214,507.39/296,020.24 = 119,013.85/x
  3. Step 3: Cross multiply
    214,507.39x = 296,020.24 × 119,013.85
  4. Step 4: Simplify right side
    214,507.39x = 35,230,507,845.25
  5. Step 5: Solve for x
    x = 35,230,507,845.25/214,507.39
  6. Step 6: Final answer
    x = 164,239.14

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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.