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Finding the Fourth Proportional to 229,289.20, 343,933.80 and 220,103.80

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Solution

The fourth proportional to 229,289.20, 343,933.80 and 220,103.80 is: 330,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,289.20 : 343,933.80 = 220,103.80 : x
  2. Step 2: Convert to fraction form
    229,289.20/343,933.80 = 220,103.80/x
  3. Step 3: Cross multiply
    229,289.20x = 343,933.80 × 220,103.80
  4. Step 4: Simplify right side
    229,289.20x = 75,701,136,328.44
  5. Step 5: Solve for x
    x = 75,701,136,328.44/229,289.20
  6. Step 6: Final answer
    x = 330,155.70

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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.