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Finding the Fourth Proportional to 196,034.52, 270,527.34 and 119,553.48

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Solution

The fourth proportional to 196,034.52, 270,527.34 and 119,553.48 is: 164,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,034.52 : 270,527.34 = 119,553.48 : x
  2. Step 2: Convert to fraction form
    196,034.52/270,527.34 = 119,553.48/x
  3. Step 3: Cross multiply
    196,034.52x = 270,527.34 × 119,553.48
  4. Step 4: Simplify right side
    196,034.52x = 32,342,484,932.14
  5. Step 5: Solve for x
    x = 32,342,484,932.14/196,034.52
  6. Step 6: Final answer
    x = 164,983.62

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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.