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Finding the Fourth Proportional to 231,964.88, 320,112.14 and 135,226.17

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Solution

The fourth proportional to 231,964.88, 320,112.14 and 135,226.17 is: 186,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,964.88 : 320,112.14 = 135,226.17 : x
  2. Step 2: Convert to fraction form
    231,964.88/320,112.14 = 135,226.17/x
  3. Step 3: Cross multiply
    231,964.88x = 320,112.14 × 135,226.17
  4. Step 4: Simplify right side
    231,964.88x = 43,287,537,986.57
  5. Step 5: Solve for x
    x = 43,287,537,986.57/231,964.88
  6. Step 6: Final answer
    x = 186,612.47

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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.