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Finding the Fourth Proportional to 189,850.56, 284,819.04 and 101,057.28

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Solution

The fourth proportional to 189,850.56, 284,819.04 and 101,057.28 is: 151,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,850.56 : 284,819.04 = 101,057.28 : x
  2. Step 2: Convert to fraction form
    189,850.56/284,819.04 = 101,057.28/x
  3. Step 3: Cross multiply
    189,850.56x = 284,819.04 × 101,057.28
  4. Step 4: Simplify right side
    189,850.56x = 28,783,037,474.61
  5. Step 5: Solve for x
    x = 28,783,037,474.61/189,850.56
  6. Step 6: Final answer
    x = 151,608.92

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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.