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Finding the Fourth Proportional to 133,942.42, 200,908.76 and 54,014.86

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Solution

The fourth proportional to 133,942.42, 200,908.76 and 54,014.86 is: 81,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,942.42 : 200,908.76 = 54,014.86 : x
  2. Step 2: Convert to fraction form
    133,942.42/200,908.76 = 54,014.86/x
  3. Step 3: Cross multiply
    133,942.42x = 200,908.76 × 54,014.86
  4. Step 4: Simplify right side
    133,942.42x = 10,852,058,274.10
  5. Step 5: Solve for x
    x = 10,852,058,274.10/133,942.42
  6. Step 6: Final answer
    x = 81,020.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.