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Finding the Fourth Proportional to 201,245.38, 277,657.99 and 120,643.50

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Solution

The fourth proportional to 201,245.38, 277,657.99 and 120,643.50 is: 166,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,245.38 : 277,657.99 = 120,643.50 : x
  2. Step 2: Convert to fraction form
    201,245.38/277,657.99 = 120,643.50/x
  3. Step 3: Cross multiply
    201,245.38x = 277,657.99 × 120,643.50
  4. Step 4: Simplify right side
    201,245.38x = 33,497,631,716.57
  5. Step 5: Solve for x
    x = 33,497,631,716.57/201,245.38
  6. Step 6: Final answer
    x = 166,451.68

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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.