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Finding the Fourth Proportional to 176,134.68, 264,233.70 and 82,638

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Solution

The fourth proportional to 176,134.68, 264,233.70 and 82,638 is: 123,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,134.68 : 264,233.70 = 82,638 : x
  2. Step 2: Convert to fraction form
    176,134.68/264,233.70 = 82,638/x
  3. Step 3: Cross multiply
    176,134.68x = 264,233.70 × 82,638
  4. Step 4: Simplify right side
    176,134.68x = 21,835,744,500.60
  5. Step 5: Solve for x
    x = 21,835,744,500.60/176,134.68
  6. Step 6: Final answer
    x = 123,971.86

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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.