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Finding the Fourth Proportional to 189,717.96, 284,576.82 and 56,691.54

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Solution

The fourth proportional to 189,717.96, 284,576.82 and 56,691.54 is: 85,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,717.96 : 284,576.82 = 56,691.54 : x
  2. Step 2: Convert to fraction form
    189,717.96/284,576.82 = 56,691.54/x
  3. Step 3: Cross multiply
    189,717.96x = 284,576.82 × 56,691.54
  4. Step 4: Simplify right side
    189,717.96x = 16,133,098,174.10
  5. Step 5: Solve for x
    x = 16,133,098,174.10/189,717.96
  6. Step 6: Final answer
    x = 85,037.27

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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.