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Finding the Fourth Proportional to 204,624.10, 306,936.15 and 133,765.30

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Solution

The fourth proportional to 204,624.10, 306,936.15 and 133,765.30 is: 200,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,624.10 : 306,936.15 = 133,765.30 : x
  2. Step 2: Convert to fraction form
    204,624.10/306,936.15 = 133,765.30/x
  3. Step 3: Cross multiply
    204,624.10x = 306,936.15 × 133,765.30
  4. Step 4: Simplify right side
    204,624.10x = 41,057,406,185.60
  5. Step 5: Solve for x
    x = 41,057,406,185.60/204,624.10
  6. Step 6: Final answer
    x = 200,647.95

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1.5x scale

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.