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Finding the Fourth Proportional to 204,082.60, 305,519.10 and 151,724.20

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Solution

The fourth proportional to 204,082.60, 305,519.10 and 151,724.20 is: 227,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,082.60 : 305,519.10 = 151,724.20 : x
  2. Step 2: Convert to fraction form
    204,082.60/305,519.10 = 151,724.20/x
  3. Step 3: Cross multiply
    204,082.60x = 305,519.10 × 151,724.20
  4. Step 4: Simplify right side
    204,082.60x = 46,354,641,032.22
  5. Step 5: Solve for x
    x = 46,354,641,032.22/204,082.60
  6. Step 6: Final answer
    x = 227,136.66

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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.