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Finding the Fourth Proportional to 254,540.80, 381,811.20 and 147,815.20

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Solution

The fourth proportional to 254,540.80, 381,811.20 and 147,815.20 is: 221,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,540.80 : 381,811.20 = 147,815.20 : x
  2. Step 2: Convert to fraction form
    254,540.80/381,811.20 = 147,815.20/x
  3. Step 3: Cross multiply
    254,540.80x = 381,811.20 × 147,815.20
  4. Step 4: Simplify right side
    254,540.80x = 56,437,498,890.24
  5. Step 5: Solve for x
    x = 56,437,498,890.24/254,540.80
  6. Step 6: Final answer
    x = 221,722.80

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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.