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Finding the Fourth Proportional to 166,753.50, 250,156.17 and 55,971.42

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Solution

The fourth proportional to 166,753.50, 250,156.17 and 55,971.42 is: 83,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,753.50 : 250,156.17 = 55,971.42 : x
  2. Step 2: Convert to fraction form
    166,753.50/250,156.17 = 55,971.42/x
  3. Step 3: Cross multiply
    166,753.50x = 250,156.17 × 55,971.42
  4. Step 4: Simplify right side
    166,753.50x = 14,001,596,056.66
  5. Step 5: Solve for x
    x = 14,001,596,056.66/166,753.50
  6. Step 6: Final answer
    x = 83,965.83

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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.