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Finding the Fourth Proportional to 234,524.46, 323,649.90 and 143,930.64

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Solution

The fourth proportional to 234,524.46, 323,649.90 and 143,930.64 is: 198,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,524.46 : 323,649.90 = 143,930.64 : x
  2. Step 2: Convert to fraction form
    234,524.46/323,649.90 = 143,930.64/x
  3. Step 3: Cross multiply
    234,524.46x = 323,649.90 × 143,930.64
  4. Step 4: Simplify right side
    234,524.46x = 46,583,137,242.94
  5. Step 5: Solve for x
    x = 46,583,137,242.94/234,524.46
  6. Step 6: Final answer
    x = 198,628.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.