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Finding the Fourth Proportional to 271,557.36, 407,204.82 and 119,735.82

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Solution

The fourth proportional to 271,557.36, 407,204.82 and 119,735.82 is: 179,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,557.36 : 407,204.82 = 119,735.82 : x
  2. Step 2: Convert to fraction form
    271,557.36/407,204.82 = 119,735.82/x
  3. Step 3: Cross multiply
    271,557.36x = 407,204.82 × 119,735.82
  4. Step 4: Simplify right side
    271,557.36x = 48,757,003,030.65
  5. Step 5: Solve for x
    x = 48,757,003,030.65/271,557.36
  6. Step 6: Final answer
    x = 179,545.87

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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.