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Finding the Fourth Proportional to 182,057.72, 273,210.42 and 111,722.36

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Solution

The fourth proportional to 182,057.72, 273,210.42 and 111,722.36 is: 167,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,057.72 : 273,210.42 = 111,722.36 : x
  2. Step 2: Convert to fraction form
    182,057.72/273,210.42 = 111,722.36/x
  3. Step 3: Cross multiply
    182,057.72x = 273,210.42 × 111,722.36
  4. Step 4: Simplify right side
    182,057.72x = 30,523,712,898.99
  5. Step 5: Solve for x
    x = 30,523,712,898.99/182,057.72
  6. Step 6: Final answer
    x = 167,659.54

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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.