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Finding the Fourth Proportional to 133,892.94, 200,838.54 and 34,052.27

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Solution

The fourth proportional to 133,892.94, 200,838.54 and 34,052.27 is: 51,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,892.94 : 200,838.54 = 34,052.27 : x
  2. Step 2: Convert to fraction form
    133,892.94/200,838.54 = 34,052.27/x
  3. Step 3: Cross multiply
    133,892.94x = 200,838.54 × 34,052.27
  4. Step 4: Simplify right side
    133,892.94x = 6,839,007,309.10
  5. Step 5: Solve for x
    x = 6,839,007,309.10/133,892.94
  6. Step 6: Final answer
    x = 51,078.18

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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.