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Finding the Fourth Proportional to 199,644.78, 275,506.16 and 113,601.90

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Solution

The fourth proportional to 199,644.78, 275,506.16 and 113,601.90 is: 156,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,644.78 : 275,506.16 = 113,601.90 : x
  2. Step 2: Convert to fraction form
    199,644.78/275,506.16 = 113,601.90/x
  3. Step 3: Cross multiply
    199,644.78x = 275,506.16 × 113,601.90
  4. Step 4: Simplify right side
    199,644.78x = 31,298,022,669.69
  5. Step 5: Solve for x
    x = 31,298,022,669.69/199,644.78
  6. Step 6: Final answer
    x = 156,768.55

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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.