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Finding the Fourth Proportional to 204,828.60, 307,242.90 and 133,969.80

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Solution

The fourth proportional to 204,828.60, 307,242.90 and 133,969.80 is: 200,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,828.60 : 307,242.90 = 133,969.80 : x
  2. Step 2: Convert to fraction form
    204,828.60/307,242.90 = 133,969.80/x
  3. Step 3: Cross multiply
    204,828.60x = 307,242.90 × 133,969.80
  4. Step 4: Simplify right side
    204,828.60x = 41,161,269,864.42
  5. Step 5: Solve for x
    x = 41,161,269,864.42/204,828.60
  6. Step 6: Final answer
    x = 200,954.70

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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.