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Finding the Fourth Proportional to 136,085.94, 204,112.62 and 36,253.44

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Solution

The fourth proportional to 136,085.94, 204,112.62 and 36,253.44 is: 54,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,085.94 : 204,112.62 = 36,253.44 : x
  2. Step 2: Convert to fraction form
    136,085.94/204,112.62 = 36,253.44/x
  3. Step 3: Cross multiply
    136,085.94x = 204,112.62 × 36,253.44
  4. Step 4: Simplify right side
    136,085.94x = 7,399,784,622.41
  5. Step 5: Solve for x
    x = 7,399,784,622.41/136,085.94
  6. Step 6: Final answer
    x = 54,375.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.