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Finding the Fourth Proportional to 229,240.80, 343,861.20 and 149,524.65

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Solution

The fourth proportional to 229,240.80, 343,861.20 and 149,524.65 is: 224,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,240.80 : 343,861.20 = 149,524.65 : x
  2. Step 2: Convert to fraction form
    229,240.80/343,861.20 = 149,524.65/x
  3. Step 3: Cross multiply
    229,240.80x = 343,861.20 × 149,524.65
  4. Step 4: Simplify right side
    229,240.80x = 51,415,725,578.58
  5. Step 5: Solve for x
    x = 51,415,725,578.58/229,240.80
  6. Step 6: Final answer
    x = 224,286.98

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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.