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Finding the Fourth Proportional to 197,142.92, 271,774 and 140,455.88

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Solution

The fourth proportional to 197,142.92, 271,774 and 140,455.88 is: 193,627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,142.92 : 271,774 = 140,455.88 : x
  2. Step 2: Convert to fraction form
    197,142.92/271,774 = 140,455.88/x
  3. Step 3: Cross multiply
    197,142.92x = 271,774 × 140,455.88
  4. Step 4: Simplify right side
    197,142.92x = 38,172,256,331.12
  5. Step 5: Solve for x
    x = 38,172,256,331.12/197,142.92
  6. Step 6: Final answer
    x = 193,627.33

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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.