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Finding the Fourth Proportional to 145,144.38, 200,295.36 and 80,611.62

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Solution

The fourth proportional to 145,144.38, 200,295.36 and 80,611.62 is: 111,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,144.38 : 200,295.36 = 80,611.62 : x
  2. Step 2: Convert to fraction form
    145,144.38/200,295.36 = 80,611.62/x
  3. Step 3: Cross multiply
    145,144.38x = 200,295.36 × 80,611.62
  4. Step 4: Simplify right side
    145,144.38x = 16,146,133,448.08
  5. Step 5: Solve for x
    x = 16,146,133,448.08/145,144.38
  6. Step 6: Final answer
    x = 111,241.88

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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.