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Finding the Fourth Proportional to 214,553.43, 296,082.75 and 119,059.92

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Solution

The fourth proportional to 214,553.43, 296,082.75 and 119,059.92 is: 164,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,553.43 : 296,082.75 = 119,059.92 : x
  2. Step 2: Convert to fraction form
    214,553.43/296,082.75 = 119,059.92/x
  3. Step 3: Cross multiply
    214,553.43x = 296,082.75 × 119,059.92
  4. Step 4: Simplify right side
    214,553.43x = 35,251,588,528.38
  5. Step 5: Solve for x
    x = 35,251,588,528.38/214,553.43
  6. Step 6: Final answer
    x = 164,302.14

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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.