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Finding the Fourth Proportional to 229,517.62, 316,771.89 and 191,216.43

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Solution

The fourth proportional to 229,517.62, 316,771.89 and 191,216.43 is: 263,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,517.62 : 316,771.89 = 191,216.43 : x
  2. Step 2: Convert to fraction form
    229,517.62/316,771.89 = 191,216.43/x
  3. Step 3: Cross multiply
    229,517.62x = 316,771.89 × 191,216.43
  4. Step 4: Simplify right side
    229,517.62x = 60,571,989,930.15
  5. Step 5: Solve for x
    x = 60,571,989,930.15/229,517.62
  6. Step 6: Final answer
    x = 263,909.98

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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.