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Finding the Fourth Proportional to 295,769.48, 408,160.98 and 161,633.48

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Solution

The fourth proportional to 295,769.48, 408,160.98 and 161,633.48 is: 223,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,769.48 : 408,160.98 = 161,633.48 : x
  2. Step 2: Convert to fraction form
    295,769.48/408,160.98 = 161,633.48/x
  3. Step 3: Cross multiply
    295,769.48x = 408,160.98 × 161,633.48
  4. Step 4: Simplify right side
    295,769.48x = 65,972,479,597.61
  5. Step 5: Solve for x
    x = 65,972,479,597.61/295,769.48
  6. Step 6: Final answer
    x = 223,053.71

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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.