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Finding the Fourth Proportional to 195,591.97, 269,853.82 and 109,538.11

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Solution

The fourth proportional to 195,591.97, 269,853.82 and 109,538.11 is: 151,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,591.97 : 269,853.82 = 109,538.11 : x
  2. Step 2: Convert to fraction form
    195,591.97/269,853.82 = 109,538.11/x
  3. Step 3: Cross multiply
    195,591.97x = 269,853.82 × 109,538.11
  4. Step 4: Simplify right side
    195,591.97x = 29,559,277,419.08
  5. Step 5: Solve for x
    x = 29,559,277,419.08/195,591.97
  6. Step 6: Final answer
    x = 151,127.25

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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.