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Finding the Fourth Proportional to 192,102.64, 288,149.92 and 64,028.20

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Solution

The fourth proportional to 192,102.64, 288,149.92 and 64,028.20 is: 96,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,102.64 : 288,149.92 = 64,028.20 : x
  2. Step 2: Convert to fraction form
    192,102.64/288,149.92 = 64,028.20/x
  3. Step 3: Cross multiply
    192,102.64x = 288,149.92 × 64,028.20
  4. Step 4: Simplify right side
    192,102.64x = 18,449,720,707.74
  5. Step 5: Solve for x
    x = 18,449,720,707.74/192,102.64
  6. Step 6: Final answer
    x = 96,040.95

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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.