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Finding the Fourth Proportional to 140,792.63, 194,293.82 and 84,204

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Solution

The fourth proportional to 140,792.63, 194,293.82 and 84,204 is: 116,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,792.63 : 194,293.82 = 84,204 : x
  2. Step 2: Convert to fraction form
    140,792.63/194,293.82 = 84,204/x
  3. Step 3: Cross multiply
    140,792.63x = 194,293.82 × 84,204
  4. Step 4: Simplify right side
    140,792.63x = 16,360,316,819.28
  5. Step 5: Solve for x
    x = 16,360,316,819.28/140,792.63
  6. Step 6: Final answer
    x = 116,201.51

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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.