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Finding the Fourth Proportional to 202,801.44, 304,279.92 and 84,441

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Solution

The fourth proportional to 202,801.44, 304,279.92 and 84,441 is: 126,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,801.44 : 304,279.92 = 84,441 : x
  2. Step 2: Convert to fraction form
    202,801.44/304,279.92 = 84,441/x
  3. Step 3: Cross multiply
    202,801.44x = 304,279.92 × 84,441
  4. Step 4: Simplify right side
    202,801.44x = 25,693,700,724.72
  5. Step 5: Solve for x
    x = 25,693,700,724.72/202,801.44
  6. Step 6: Final answer
    x = 126,693.88

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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.