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Finding the Fourth Proportional to 186,212.25, 256,976.96 and 101,329.38

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Solution

The fourth proportional to 186,212.25, 256,976.96 and 101,329.38 is: 139,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,212.25 : 256,976.96 = 101,329.38 : x
  2. Step 2: Convert to fraction form
    186,212.25/256,976.96 = 101,329.38/x
  3. Step 3: Cross multiply
    186,212.25x = 256,976.96 × 101,329.38
  4. Step 4: Simplify right side
    186,212.25x = 26,039,315,524.44
  5. Step 5: Solve for x
    x = 26,039,315,524.44/186,212.25
  6. Step 6: Final answer
    x = 139,836.75

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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.