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Finding the Fourth Proportional to 181,805.74, 272,749.92 and 55,457.29

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Solution

The fourth proportional to 181,805.74, 272,749.92 and 55,457.29 is: 83,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,805.74 : 272,749.92 = 55,457.29 : x
  2. Step 2: Convert to fraction form
    181,805.74/272,749.92 = 55,457.29/x
  3. Step 3: Cross multiply
    181,805.74x = 272,749.92 × 55,457.29
  4. Step 4: Simplify right side
    181,805.74x = 15,125,971,410.92
  5. Step 5: Solve for x
    x = 15,125,971,410.92/181,805.74
  6. Step 6: Final answer
    x = 83,198.54

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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.