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Finding the Fourth Proportional to 135,205.93, 186,578.54 and 73,951.13

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Solution

The fourth proportional to 135,205.93, 186,578.54 and 73,951.13 is: 102,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,205.93 : 186,578.54 = 73,951.13 : x
  2. Step 2: Convert to fraction form
    135,205.93/186,578.54 = 73,951.13/x
  3. Step 3: Cross multiply
    135,205.93x = 186,578.54 × 73,951.13
  4. Step 4: Simplify right side
    135,205.93x = 13,797,693,191.25
  5. Step 5: Solve for x
    x = 13,797,693,191.25/135,205.93
  6. Step 6: Final answer
    x = 102,049.47

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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.