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Finding the Fourth Proportional to 275,940.38, 413,564.46 and 117,983.42

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Solution

The fourth proportional to 275,940.38, 413,564.46 and 117,983.42 is: 176,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,940.38 : 413,564.46 = 117,983.42 : x
  2. Step 2: Convert to fraction form
    275,940.38/413,564.46 = 117,983.42/x
  3. Step 3: Cross multiply
    275,940.38x = 413,564.46 × 117,983.42
  4. Step 4: Simplify right side
    275,940.38x = 48,793,749,381.25
  5. Step 5: Solve for x
    x = 48,793,749,381.25/275,940.38
  6. Step 6: Final answer
    x = 176,827.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.