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Finding the Fourth Proportional to 203,519.82, 305,177.24 and 119,300.06

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Solution

The fourth proportional to 203,519.82, 305,177.24 and 119,300.06 is: 178,890.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,519.82 : 305,177.24 = 119,300.06 : x
  2. Step 2: Convert to fraction form
    203,519.82/305,177.24 = 119,300.06/x
  3. Step 3: Cross multiply
    203,519.82x = 305,177.24 × 119,300.06
  4. Step 4: Simplify right side
    203,519.82x = 36,407,663,042.63
  5. Step 5: Solve for x
    x = 36,407,663,042.63/203,519.82
  6. Step 6: Final answer
    x = 178,890.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.