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Finding the Fourth Proportional to 189,796.50, 261,919.17 and 114,360.66

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Solution

The fourth proportional to 189,796.50, 261,919.17 and 114,360.66 is: 157,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,796.50 : 261,919.17 = 114,360.66 : x
  2. Step 2: Convert to fraction form
    189,796.50/261,919.17 = 114,360.66/x
  3. Step 3: Cross multiply
    189,796.50x = 261,919.17 × 114,360.66
  4. Step 4: Simplify right side
    189,796.50x = 29,953,249,147.85
  5. Step 5: Solve for x
    x = 29,953,249,147.85/189,796.50
  6. Step 6: Final answer
    x = 157,817.71

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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.