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Finding the Fourth Proportional to 349,137.50, 523,736.62 and 96,418.32

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Solution

The fourth proportional to 349,137.50, 523,736.62 and 96,418.32 is: 144,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,137.50 : 523,736.62 = 96,418.32 : x
  2. Step 2: Convert to fraction form
    349,137.50/523,736.62 = 96,418.32/x
  3. Step 3: Cross multiply
    349,137.50x = 523,736.62 × 96,418.32
  4. Step 4: Simplify right side
    349,137.50x = 50,497,805,022.88
  5. Step 5: Solve for x
    x = 50,497,805,022.88/349,137.50
  6. Step 6: Final answer
    x = 144,635.87

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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.