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Finding the Fourth Proportional to 167,706.46, 251,576.70 and 55,387

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Solution

The fourth proportional to 167,706.46, 251,576.70 and 55,387 is: 83,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,706.46 : 251,576.70 = 55,387 : x
  2. Step 2: Convert to fraction form
    167,706.46/251,576.70 = 55,387/x
  3. Step 3: Cross multiply
    167,706.46x = 251,576.70 × 55,387
  4. Step 4: Simplify right side
    167,706.46x = 13,934,078,682.90
  5. Step 5: Solve for x
    x = 13,934,078,682.90/167,706.46
  6. Step 6: Final answer
    x = 83,086.12

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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.