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Finding the Fourth Proportional to 253,225.82, 379,727.95 and 120,144.03

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Solution

The fourth proportional to 253,225.82, 379,727.95 and 120,144.03 is: 180,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,225.82 : 379,727.95 = 120,144.03 : x
  2. Step 2: Convert to fraction form
    253,225.82/379,727.95 = 120,144.03/x
  3. Step 3: Cross multiply
    253,225.82x = 379,727.95 × 120,144.03
  4. Step 4: Simplify right side
    253,225.82x = 45,622,046,216.64
  5. Step 5: Solve for x
    x = 45,622,046,216.64/253,225.82
  6. Step 6: Final answer
    x = 180,163.48

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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.