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Finding the Fourth Proportional to 234,538.90, 323,679.87 and 142,694.02

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Solution

The fourth proportional to 234,538.90, 323,679.87 and 142,694.02 is: 196,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,538.90 : 323,679.87 = 142,694.02 : x
  2. Step 2: Convert to fraction form
    234,538.90/323,679.87 = 142,694.02/x
  3. Step 3: Cross multiply
    234,538.90x = 323,679.87 × 142,694.02
  4. Step 4: Simplify right side
    234,538.90x = 46,187,181,843.38
  5. Step 5: Solve for x
    x = 46,187,181,843.38/234,538.90
  6. Step 6: Final answer
    x = 196,927.60

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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.