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Finding the Fourth Proportional to 201,995.28, 303,005.34 and 83,675.88

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Solution

The fourth proportional to 201,995.28, 303,005.34 and 83,675.88 is: 125,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,995.28 : 303,005.34 = 83,675.88 : x
  2. Step 2: Convert to fraction form
    201,995.28/303,005.34 = 83,675.88/x
  3. Step 3: Cross multiply
    201,995.28x = 303,005.34 × 83,675.88
  4. Step 4: Simplify right side
    201,995.28x = 25,354,238,469.20
  5. Step 5: Solve for x
    x = 25,354,238,469.20/201,995.28
  6. Step 6: Final answer
    x = 125,518.96

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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.