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Finding the Fourth Proportional to 200,722.80, 300,738.60 and 95,314.80

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Solution

The fourth proportional to 200,722.80, 300,738.60 and 95,314.80 is: 142,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,722.80 : 300,738.60 = 95,314.80 : x
  2. Step 2: Convert to fraction form
    200,722.80/300,738.60 = 95,314.80/x
  3. Step 3: Cross multiply
    200,722.80x = 300,738.60 × 95,314.80
  4. Step 4: Simplify right side
    200,722.80x = 28,664,839,511.28
  5. Step 5: Solve for x
    x = 28,664,839,511.28/200,722.80
  6. Step 6: Final answer
    x = 142,808.09

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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.