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Finding the Fourth Proportional to 199,615.56, 275,469.57 and 114,732.42

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Solution

The fourth proportional to 199,615.56, 275,469.57 and 114,732.42 is: 158,330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,615.56 : 275,469.57 = 114,732.42 : x
  2. Step 2: Convert to fraction form
    199,615.56/275,469.57 = 114,732.42/x
  3. Step 3: Cross multiply
    199,615.56x = 275,469.57 × 114,732.42
  4. Step 4: Simplify right side
    199,615.56x = 31,605,290,402.46
  5. Step 5: Solve for x
    x = 31,605,290,402.46/199,615.56
  6. Step 6: Final answer
    x = 158,330.80

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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.