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Finding the Fourth Proportional to 252,082.56, 347,869.42 and 137,362.20

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Solution

The fourth proportional to 252,082.56, 347,869.42 and 137,362.20 is: 189,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,082.56 : 347,869.42 = 137,362.20 : x
  2. Step 2: Convert to fraction form
    252,082.56/347,869.42 = 137,362.20/x
  3. Step 3: Cross multiply
    252,082.56x = 347,869.42 × 137,362.20
  4. Step 4: Simplify right side
    252,082.56x = 47,784,108,843.92
  5. Step 5: Solve for x
    x = 47,784,108,843.92/252,082.56
  6. Step 6: Final answer
    x = 189,557.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.