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Finding the Fourth Proportional to 204,961.20, 307,441.80 and 169,969.20

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Solution

The fourth proportional to 204,961.20, 307,441.80 and 169,969.20 is: 254,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,961.20 : 307,441.80 = 169,969.20 : x
  2. Step 2: Convert to fraction form
    204,961.20/307,441.80 = 169,969.20/x
  3. Step 3: Cross multiply
    204,961.20x = 307,441.80 × 169,969.20
  4. Step 4: Simplify right side
    204,961.20x = 52,255,636,792.56
  5. Step 5: Solve for x
    x = 52,255,636,792.56/204,961.20
  6. Step 6: Final answer
    x = 254,953.80

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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.