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Finding the Fourth Proportional to 192,525.84, 288,755.64 and 52,295.76

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Solution

The fourth proportional to 192,525.84, 288,755.64 and 52,295.76 is: 78,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,525.84 : 288,755.64 = 52,295.76 : x
  2. Step 2: Convert to fraction form
    192,525.84/288,755.64 = 52,295.76/x
  3. Step 3: Cross multiply
    192,525.84x = 288,755.64 × 52,295.76
  4. Step 4: Simplify right side
    192,525.84x = 15,100,695,648.09
  5. Step 5: Solve for x
    x = 15,100,695,648.09/192,525.84
  6. Step 6: Final answer
    x = 78,434.64

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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.