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Finding the Fourth Proportional to 204,867.60, 307,013.40 and 162,819.60

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Solution

The fourth proportional to 204,867.60, 307,013.40 and 162,819.60 is: 244,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,867.60 : 307,013.40 = 162,819.60 : x
  2. Step 2: Convert to fraction form
    204,867.60/307,013.40 = 162,819.60/x
  3. Step 3: Cross multiply
    204,867.60x = 307,013.40 × 162,819.60
  4. Step 4: Simplify right side
    204,867.60x = 49,987,798,982.64
  5. Step 5: Solve for x
    x = 49,987,798,982.64/204,867.60
  6. Step 6: Final answer
    x = 244,000.51

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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.