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Finding the Fourth Proportional to 422,082, 633,123 and 126,594

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Solution

The fourth proportional to 422,082, 633,123 and 126,594 is: 189,891

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,082 : 633,123 = 126,594 : x
  2. Step 2: Convert to fraction form
    422,082/633,123 = 126,594/x
  3. Step 3: Cross multiply
    422,082x = 633,123 × 126,594
  4. Step 4: Simplify right side
    422,082x = 80,149,573,062
  5. Step 5: Solve for x
    x = 80,149,573,062/422,082
  6. Step 6: Final answer
    x = 189,891

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.