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Finding the Fourth Proportional to 275,545.92, 412,933.94 and 148,913.16

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Solution

The fourth proportional to 275,545.92, 412,933.94 and 148,913.16 is: 223,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,545.92 : 412,933.94 = 148,913.16 : x
  2. Step 2: Convert to fraction form
    275,545.92/412,933.94 = 148,913.16/x
  3. Step 3: Cross multiply
    275,545.92x = 412,933.94 × 148,913.16
  4. Step 4: Simplify right side
    275,545.92x = 61,491,297,876.65
  5. Step 5: Solve for x
    x = 61,491,297,876.65/275,545.92
  6. Step 6: Final answer
    x = 223,161.71

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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.