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Finding the Fourth Proportional to 204,209.28, 306,313.74 and 63,978.84

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Solution

The fourth proportional to 204,209.28, 306,313.74 and 63,978.84 is: 95,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,209.28 : 306,313.74 = 63,978.84 : x
  2. Step 2: Convert to fraction form
    204,209.28/306,313.74 = 63,978.84/x
  3. Step 3: Cross multiply
    204,209.28x = 306,313.74 × 63,978.84
  4. Step 4: Simplify right side
    204,209.28x = 19,597,597,761.26
  5. Step 5: Solve for x
    x = 19,597,597,761.26/204,209.28
  6. Step 6: Final answer
    x = 95,968.20

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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.