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Finding the Fourth Proportional to 133,392.76, 200,089.47 and 54,506.97

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Solution

The fourth proportional to 133,392.76, 200,089.47 and 54,506.97 is: 81,760.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,392.76 : 200,089.47 = 54,506.97 : x
  2. Step 2: Convert to fraction form
    133,392.76/200,089.47 = 54,506.97/x
  3. Step 3: Cross multiply
    133,392.76x = 200,089.47 × 54,506.97
  4. Step 4: Simplify right side
    133,392.76x = 10,906,270,943.01
  5. Step 5: Solve for x
    x = 10,906,270,943.01/133,392.76
  6. Step 6: Final answer
    x = 81,760.59

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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.