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Finding the Fourth Proportional to 193,946.98, 267,641.46 and 117,511.34

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Solution

The fourth proportional to 193,946.98, 267,641.46 and 117,511.34 is: 162,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,946.98 : 267,641.46 = 117,511.34 : x
  2. Step 2: Convert to fraction form
    193,946.98/267,641.46 = 117,511.34/x
  3. Step 3: Cross multiply
    193,946.98x = 267,641.46 × 117,511.34
  4. Step 4: Simplify right side
    193,946.98x = 31,450,906,604.16
  5. Step 5: Solve for x
    x = 31,450,906,604.16/193,946.98
  6. Step 6: Final answer
    x = 162,162.39

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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.