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Finding the Fourth Proportional to 166,950, 250,425 and 56,142

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Solution

The fourth proportional to 166,950, 250,425 and 56,142 is: 84,213

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,950 : 250,425 = 56,142 : x
  2. Step 2: Convert to fraction form
    166,950/250,425 = 56,142/x
  3. Step 3: Cross multiply
    166,950x = 250,425 × 56,142
  4. Step 4: Simplify right side
    166,950x = 14,059,360,350
  5. Step 5: Solve for x
    x = 14,059,360,350/166,950
  6. Step 6: Final answer
    x = 84,213

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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.