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Finding the Fourth Proportional to 263,630.95, 363,846.92 and 161,638.38

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Solution

The fourth proportional to 263,630.95, 363,846.92 and 161,638.38 is: 223,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,630.95 : 363,846.92 = 161,638.38 : x
  2. Step 2: Convert to fraction form
    263,630.95/363,846.92 = 161,638.38/x
  3. Step 3: Cross multiply
    263,630.95x = 363,846.92 × 161,638.38
  4. Step 4: Simplify right side
    263,630.95x = 58,811,625,908.60
  5. Step 5: Solve for x
    x = 58,811,625,908.60/263,630.95
  6. Step 6: Final answer
    x = 223,083.16

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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.