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Finding the Fourth Proportional to 136,039.82, 204,059.44 and 36,200

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Solution

The fourth proportional to 136,039.82, 204,059.44 and 36,200 is: 54,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,039.82 : 204,059.44 = 36,200 : x
  2. Step 2: Convert to fraction form
    136,039.82/204,059.44 = 36,200/x
  3. Step 3: Cross multiply
    136,039.82x = 204,059.44 × 36,200
  4. Step 4: Simplify right side
    136,039.82x = 7,386,951,728
  5. Step 5: Solve for x
    x = 7,386,951,728/136,039.82
  6. Step 6: Final answer
    x = 54,299.92

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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.