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Finding the Fourth Proportional to 229,183.40, 343,775.10 and 71,424.52

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Solution

The fourth proportional to 229,183.40, 343,775.10 and 71,424.52 is: 107,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,183.40 : 343,775.10 = 71,424.52 : x
  2. Step 2: Convert to fraction form
    229,183.40/343,775.10 = 71,424.52/x
  3. Step 3: Cross multiply
    229,183.40x = 343,775.10 × 71,424.52
  4. Step 4: Simplify right side
    229,183.40x = 24,553,971,505.45
  5. Step 5: Solve for x
    x = 24,553,971,505.45/229,183.40
  6. Step 6: Final answer
    x = 107,136.78

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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.