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Finding the Fourth Proportional to 233,872.04, 350,769.12 and 84,082.04

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Solution

The fourth proportional to 233,872.04, 350,769.12 and 84,082.04 is: 126,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,872.04 : 350,769.12 = 84,082.04 : x
  2. Step 2: Convert to fraction form
    233,872.04/350,769.12 = 84,082.04/x
  3. Step 3: Cross multiply
    233,872.04x = 350,769.12 × 84,082.04
  4. Step 4: Simplify right side
    233,872.04x = 29,493,383,178.60
  5. Step 5: Solve for x
    x = 29,493,383,178.60/233,872.04
  6. Step 6: Final answer
    x = 126,109.06

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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.