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Finding the Fourth Proportional to 180,294.89, 270,296.53 and 75,192.53

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Solution

The fourth proportional to 180,294.89, 270,296.53 and 75,192.53 is: 112,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,294.89 : 270,296.53 = 75,192.53 : x
  2. Step 2: Convert to fraction form
    180,294.89/270,296.53 = 75,192.53/x
  3. Step 3: Cross multiply
    180,294.89x = 270,296.53 × 75,192.53
  4. Step 4: Simplify right side
    180,294.89x = 20,324,278,401.46
  5. Step 5: Solve for x
    x = 20,324,278,401.46/180,294.89
  6. Step 6: Final answer
    x = 112,727.98

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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.