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Finding the Fourth Proportional to 193,478, 267,016.42 and 107,453.58

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Solution

The fourth proportional to 193,478, 267,016.42 and 107,453.58 is: 148,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,478 : 267,016.42 = 107,453.58 : x
  2. Step 2: Convert to fraction form
    193,478/267,016.42 = 107,453.58/x
  3. Step 3: Cross multiply
    193,478x = 267,016.42 × 107,453.58
  4. Step 4: Simplify right side
    193,478x = 28,691,870,247.78
  5. Step 5: Solve for x
    x = 28,691,870,247.78/193,478
  6. Step 6: Final answer
    x = 148,295.26

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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.