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Finding the Fourth Proportional to 136,405.78, 188,249.44 and 82,693.06

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Solution

The fourth proportional to 136,405.78, 188,249.44 and 82,693.06 is: 114,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,405.78 : 188,249.44 = 82,693.06 : x
  2. Step 2: Convert to fraction form
    136,405.78/188,249.44 = 82,693.06/x
  3. Step 3: Cross multiply
    136,405.78x = 188,249.44 × 82,693.06
  4. Step 4: Simplify right side
    136,405.78x = 15,566,922,236.89
  5. Step 5: Solve for x
    x = 15,566,922,236.89/136,405.78
  6. Step 6: Final answer
    x = 114,122.16

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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.