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Finding the Fourth Proportional to 204,865.20, 307,297.80 and 169,873.20

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Solution

The fourth proportional to 204,865.20, 307,297.80 and 169,873.20 is: 254,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,865.20 : 307,297.80 = 169,873.20 : x
  2. Step 2: Convert to fraction form
    204,865.20/307,297.80 = 169,873.20/x
  3. Step 3: Cross multiply
    204,865.20x = 307,297.80 × 169,873.20
  4. Step 4: Simplify right side
    204,865.20x = 52,201,660,638.96
  5. Step 5: Solve for x
    x = 52,201,660,638.96/204,865.20
  6. Step 6: Final answer
    x = 254,809.80

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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.