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Finding the Fourth Proportional to 228,682.80, 343,218.60 and 102,517.20

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Solution

The fourth proportional to 228,682.80, 343,218.60 and 102,517.20 is: 153,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,682.80 : 343,218.60 = 102,517.20 : x
  2. Step 2: Convert to fraction form
    228,682.80/343,218.60 = 102,517.20/x
  3. Step 3: Cross multiply
    228,682.80x = 343,218.60 × 102,517.20
  4. Step 4: Simplify right side
    228,682.80x = 35,185,809,859.92
  5. Step 5: Solve for x
    x = 35,185,809,859.92/228,682.80
  6. Step 6: Final answer
    x = 153,862.95

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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.