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Finding the Fourth Proportional to 197,143.46, 271,963.14 and 129,131

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Solution

The fourth proportional to 197,143.46, 271,963.14 and 129,131 is: 178,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,143.46 : 271,963.14 = 129,131 : x
  2. Step 2: Convert to fraction form
    197,143.46/271,963.14 = 129,131/x
  3. Step 3: Cross multiply
    197,143.46x = 271,963.14 × 129,131
  4. Step 4: Simplify right side
    197,143.46x = 35,118,872,231.34
  5. Step 5: Solve for x
    x = 35,118,872,231.34/197,143.46
  6. Step 6: Final answer
    x = 178,138.66

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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.