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Finding the Fourth Proportional to 174,978.74, 262,224.11 and 132,249.09

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Solution

The fourth proportional to 174,978.74, 262,224.11 and 132,249.09 is: 198,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,978.74 : 262,224.11 = 132,249.09 : x
  2. Step 2: Convert to fraction form
    174,978.74/262,224.11 = 132,249.09/x
  3. Step 3: Cross multiply
    174,978.74x = 262,224.11 × 132,249.09
  4. Step 4: Simplify right side
    174,978.74x = 34,678,899,262.31
  5. Step 5: Solve for x
    x = 34,678,899,262.31/174,978.74
  6. Step 6: Final answer
    x = 198,189.22

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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.