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Finding the Fourth Proportional to 225,976.83, 338,545.86 and 161,802.55

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Solution

The fourth proportional to 225,976.83, 338,545.86 and 161,802.55 is: 242,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,976.83 : 338,545.86 = 161,802.55 : x
  2. Step 2: Convert to fraction form
    225,976.83/338,545.86 = 161,802.55/x
  3. Step 3: Cross multiply
    225,976.83x = 338,545.86 × 161,802.55
  4. Step 4: Simplify right side
    225,976.83x = 54,777,583,439.94
  5. Step 5: Solve for x
    x = 54,777,583,439.94/225,976.83
  6. Step 6: Final answer
    x = 242,403.54

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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.