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Finding the Fourth Proportional to 200,830.24, 300,770.40 and 174,391.30

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Solution

The fourth proportional to 200,830.24, 300,770.40 and 174,391.30 is: 261,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,830.24 : 300,770.40 = 174,391.30 : x
  2. Step 2: Convert to fraction form
    200,830.24/300,770.40 = 174,391.30/x
  3. Step 3: Cross multiply
    200,830.24x = 300,770.40 × 174,391.30
  4. Step 4: Simplify right side
    200,830.24x = 52,451,741,057.52
  5. Step 5: Solve for x
    x = 52,451,741,057.52/200,830.24
  6. Step 6: Final answer
    x = 261,174.52

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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.