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Finding the Fourth Proportional to 133,393.36, 200,090.36 and 54,507.58

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Solution

The fourth proportional to 133,393.36, 200,090.36 and 54,507.58 is: 81,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,393.36 : 200,090.36 = 54,507.58 : x
  2. Step 2: Convert to fraction form
    133,393.36/200,090.36 = 54,507.58/x
  3. Step 3: Cross multiply
    133,393.36x = 200,090.36 × 54,507.58
  4. Step 4: Simplify right side
    133,393.36x = 10,906,441,304.93
  5. Step 5: Solve for x
    x = 10,906,441,304.93/133,393.36
  6. Step 6: Final answer
    x = 81,761.50

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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.