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Finding the Fourth Proportional to 297,198, 410,140.80 and 163,062

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Solution

The fourth proportional to 297,198, 410,140.80 and 163,062 is: 225,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,198 : 410,140.80 = 163,062 : x
  2. Step 2: Convert to fraction form
    297,198/410,140.80 = 163,062/x
  3. Step 3: Cross multiply
    297,198x = 410,140.80 × 163,062
  4. Step 4: Simplify right side
    297,198x = 66,878,379,129.60
  5. Step 5: Solve for x
    x = 66,878,379,129.60/297,198
  6. Step 6: Final answer
    x = 225,029.71

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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.