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Finding the Fourth Proportional to 192,023.96, 288,035.96 and 51,782.60

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Solution

The fourth proportional to 192,023.96, 288,035.96 and 51,782.60 is: 77,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,023.96 : 288,035.96 = 51,782.60 : x
  2. Step 2: Convert to fraction form
    192,023.96/288,035.96 = 51,782.60/x
  3. Step 3: Cross multiply
    192,023.96x = 288,035.96 × 51,782.60
  4. Step 4: Simplify right side
    192,023.96x = 14,915,249,591.57
  5. Step 5: Solve for x
    x = 14,915,249,591.57/192,023.96
  6. Step 6: Final answer
    x = 77,673.90

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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.