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Finding the Fourth Proportional to 133,393.26, 200,090.23 and 54,507.47

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Solution

The fourth proportional to 133,393.26, 200,090.23 and 54,507.47 is: 81,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,393.26 : 200,090.23 = 54,507.47 : x
  2. Step 2: Convert to fraction form
    133,393.26/200,090.23 = 54,507.47/x
  3. Step 3: Cross multiply
    133,393.26x = 200,090.23 × 54,507.47
  4. Step 4: Simplify right side
    133,393.26x = 10,906,411,936.48
  5. Step 5: Solve for x
    x = 10,906,411,936.48/133,393.26
  6. Step 6: Final answer
    x = 81,761.34

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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.