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Finding the Fourth Proportional to 231,965.88, 320,113.52 and 135,227.17

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Solution

The fourth proportional to 231,965.88, 320,113.52 and 135,227.17 is: 186,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,965.88 : 320,113.52 = 135,227.17 : x
  2. Step 2: Convert to fraction form
    231,965.88/320,113.52 = 135,227.17/x
  3. Step 3: Cross multiply
    231,965.88x = 320,113.52 × 135,227.17
  4. Step 4: Simplify right side
    231,965.88x = 43,288,045,388.34
  5. Step 5: Solve for x
    x = 43,288,045,388.34/231,965.88
  6. Step 6: Final answer
    x = 186,613.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.