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Finding the Fourth Proportional to 102,205.38, 140,922.75 and 69,955.53

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Solution

The fourth proportional to 102,205.38, 140,922.75 and 69,955.53 is: 96,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,205.38 : 140,922.75 = 69,955.53 : x
  2. Step 2: Convert to fraction form
    102,205.38/140,922.75 = 69,955.53/x
  3. Step 3: Cross multiply
    102,205.38x = 140,922.75 × 69,955.53
  4. Step 4: Simplify right side
    102,205.38x = 9,858,325,665.31
  5. Step 5: Solve for x
    x = 9,858,325,665.31/102,205.38
  6. Step 6: Final answer
    x = 96,456.03

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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.