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Finding the Fourth Proportional to 195,364.68, 269,603.28 and 105,940.68

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Solution

The fourth proportional to 195,364.68, 269,603.28 and 105,940.68 is: 146,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,364.68 : 269,603.28 = 105,940.68 : x
  2. Step 2: Convert to fraction form
    195,364.68/269,603.28 = 105,940.68/x
  3. Step 3: Cross multiply
    195,364.68x = 269,603.28 × 105,940.68
  4. Step 4: Simplify right side
    195,364.68x = 28,561,954,813.43
  5. Step 5: Solve for x
    x = 28,561,954,813.43/195,364.68
  6. Step 6: Final answer
    x = 146,198.15

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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.