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Finding the Fourth Proportional to 204,662.53, 307,100.40 and 154,727.88

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Solution

The fourth proportional to 204,662.53, 307,100.40 and 154,727.88 is: 232,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,662.53 : 307,100.40 = 154,727.88 : x
  2. Step 2: Convert to fraction form
    204,662.53/307,100.40 = 154,727.88/x
  3. Step 3: Cross multiply
    204,662.53x = 307,100.40 × 154,727.88
  4. Step 4: Simplify right side
    204,662.53x = 47,516,993,839.15
  5. Step 5: Solve for x
    x = 47,516,993,839.15/204,662.53
  6. Step 6: Final answer
    x = 232,172.41

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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.