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Finding the Fourth Proportional to 234,178.44, 323,169.12 and 142,271.52

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Solution

The fourth proportional to 234,178.44, 323,169.12 and 142,271.52 is: 196,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,178.44 : 323,169.12 = 142,271.52 : x
  2. Step 2: Convert to fraction form
    234,178.44/323,169.12 = 142,271.52/x
  3. Step 3: Cross multiply
    234,178.44x = 323,169.12 × 142,271.52
  4. Step 4: Simplify right side
    234,178.44x = 45,977,761,919.46
  5. Step 5: Solve for x
    x = 45,977,761,919.46/234,178.44
  6. Step 6: Final answer
    x = 196,336.44

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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.