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Finding the Fourth Proportional to 192,509.20, 288,762 and 52,267.84

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Solution

The fourth proportional to 192,509.20, 288,762 and 52,267.84 is: 78,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,509.20 : 288,762 = 52,267.84 : x
  2. Step 2: Convert to fraction form
    192,509.20/288,762 = 52,267.84/x
  3. Step 3: Cross multiply
    192,509.20x = 288,762 × 52,267.84
  4. Step 4: Simplify right side
    192,509.20x = 15,092,966,014.08
  5. Step 5: Solve for x
    x = 15,092,966,014.08/192,509.20
  6. Step 6: Final answer
    x = 78,401.27

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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.