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Finding the Fourth Proportional to 189,791.34, 261,911.97 and 114,354.42

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Solution

The fourth proportional to 189,791.34, 261,911.97 and 114,354.42 is: 157,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,791.34 : 261,911.97 = 114,354.42 : x
  2. Step 2: Convert to fraction form
    189,791.34/261,911.97 = 114,354.42/x
  3. Step 3: Cross multiply
    189,791.34x = 261,911.97 × 114,354.42
  4. Step 4: Simplify right side
    189,791.34x = 29,950,791,420.41
  5. Step 5: Solve for x
    x = 29,950,791,420.41/189,791.34
  6. Step 6: Final answer
    x = 157,809.05

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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.