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Finding the Fourth Proportional to 133,394.51, 200,092.10 and 54,508.72

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Solution

The fourth proportional to 133,394.51, 200,092.10 and 54,508.72 is: 81,763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,394.51 : 200,092.10 = 54,508.72 : x
  2. Step 2: Convert to fraction form
    133,394.51/200,092.10 = 54,508.72/x
  3. Step 3: Cross multiply
    133,394.51x = 200,092.10 × 54,508.72
  4. Step 4: Simplify right side
    133,394.51x = 10,906,764,253.11
  5. Step 5: Solve for x
    x = 10,906,764,253.11/133,394.51
  6. Step 6: Final answer
    x = 81,763.22

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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.