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Finding the Fourth Proportional to 133,548.36, 184,287.33 and 76,174.46

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Solution

The fourth proportional to 133,548.36, 184,287.33 and 76,174.46 is: 105,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,548.36 : 184,287.33 = 76,174.46 : x
  2. Step 2: Convert to fraction form
    133,548.36/184,287.33 = 76,174.46/x
  3. Step 3: Cross multiply
    133,548.36x = 184,287.33 × 76,174.46
  4. Step 4: Simplify right side
    133,548.36x = 14,037,988,180.45
  5. Step 5: Solve for x
    x = 14,037,988,180.45/133,548.36
  6. Step 6: Final answer
    x = 105,115.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.