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Finding the Fourth Proportional to 234,175.30, 323,169.75 and 143,513.75

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Solution

The fourth proportional to 234,175.30, 323,169.75 and 143,513.75 is: 198,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,175.30 : 323,169.75 = 143,513.75 : x
  2. Step 2: Convert to fraction form
    234,175.30/323,169.75 = 143,513.75/x
  3. Step 3: Cross multiply
    234,175.30x = 323,169.75 × 143,513.75
  4. Step 4: Simplify right side
    234,175.30x = 46,379,301,766.92
  5. Step 5: Solve for x
    x = 46,379,301,766.92/234,175.30
  6. Step 6: Final answer
    x = 198,053.77

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