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Finding the Fourth Proportional to 234,175.96, 323,168.73 and 143,581.88

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Solution

The fourth proportional to 234,175.96, 323,168.73 and 143,581.88 is: 198,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,175.96 : 323,168.73 = 143,581.88 : x
  2. Step 2: Convert to fraction form
    234,175.96/323,168.73 = 143,581.88/x
  3. Step 3: Cross multiply
    234,175.96x = 323,168.73 × 143,581.88
  4. Step 4: Simplify right side
    234,175.96x = 46,401,173,810.61
  5. Step 5: Solve for x
    x = 46,401,173,810.61/234,175.96
  6. Step 6: Final answer
    x = 198,146.62

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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.