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Finding the Fourth Proportional to 234,384.64, 323,447.97 and 142,473.48

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Solution

The fourth proportional to 234,384.64, 323,447.97 and 142,473.48 is: 196,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,384.64 : 323,447.97 = 142,473.48 : x
  2. Step 2: Convert to fraction form
    234,384.64/323,447.97 = 142,473.48/x
  3. Step 3: Cross multiply
    234,384.64x = 323,447.97 × 142,473.48
  4. Step 4: Simplify right side
    234,384.64x = 46,082,757,884.84
  5. Step 5: Solve for x
    x = 46,082,757,884.84/234,384.64
  6. Step 6: Final answer
    x = 196,611.68

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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.