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Finding the Fourth Proportional to 165,622.50, 248,472.90 and 54,814.50

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Solution

The fourth proportional to 165,622.50, 248,472.90 and 54,814.50 is: 82,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,622.50 : 248,472.90 = 54,814.50 : x
  2. Step 2: Convert to fraction form
    165,622.50/248,472.90 = 54,814.50/x
  3. Step 3: Cross multiply
    165,622.50x = 248,472.90 × 54,814.50
  4. Step 4: Simplify right side
    165,622.50x = 13,619,917,777.05
  5. Step 5: Solve for x
    x = 13,619,917,777.05/165,622.50
  6. Step 6: Final answer
    x = 82,234.71

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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.