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Finding the Fourth Proportional to 179,967.82, 269,984.52 and 90,057.52

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Solution

The fourth proportional to 179,967.82, 269,984.52 and 90,057.52 is: 135,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,967.82 : 269,984.52 = 90,057.52 : x
  2. Step 2: Convert to fraction form
    179,967.82/269,984.52 = 90,057.52/x
  3. Step 3: Cross multiply
    179,967.82x = 269,984.52 × 90,057.52
  4. Step 4: Simplify right side
    179,967.82x = 24,314,136,309.59
  5. Step 5: Solve for x
    x = 24,314,136,309.59/179,967.82
  6. Step 6: Final answer
    x = 135,102.69

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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.