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Finding the Fourth Proportional to 136,407.43, 188,212.56 and 82,705.64

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Solution

The fourth proportional to 136,407.43, 188,212.56 and 82,705.64 is: 114,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,407.43 : 188,212.56 = 82,705.64 : x
  2. Step 2: Convert to fraction form
    136,407.43/188,212.56 = 82,705.64/x
  3. Step 3: Cross multiply
    136,407.43x = 188,212.56 × 82,705.64
  4. Step 4: Simplify right side
    136,407.43x = 15,566,239,817.31
  5. Step 5: Solve for x
    x = 15,566,239,817.31/136,407.43
  6. Step 6: Final answer
    x = 114,115.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.