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Finding the Fourth Proportional to 192,302.52, 288,454 and 50,147.67

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Solution

The fourth proportional to 192,302.52, 288,454 and 50,147.67 is: 75,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,302.52 : 288,454 = 50,147.67 : x
  2. Step 2: Convert to fraction form
    192,302.52/288,454 = 50,147.67/x
  3. Step 3: Cross multiply
    192,302.52x = 288,454 × 50,147.67
  4. Step 4: Simplify right side
    192,302.52x = 14,465,296,002.18
  5. Step 5: Solve for x
    x = 14,465,296,002.18/192,302.52
  6. Step 6: Final answer
    x = 75,221.56

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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.