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Finding the Fourth Proportional to 133,829.38, 184,684.54 and 74,213.38

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Solution

The fourth proportional to 133,829.38, 184,684.54 and 74,213.38 is: 102,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,829.38 : 184,684.54 = 74,213.38 : x
  2. Step 2: Convert to fraction form
    133,829.38/184,684.54 = 74,213.38/x
  3. Step 3: Cross multiply
    133,829.38x = 184,684.54 × 74,213.38
  4. Step 4: Simplify right side
    133,829.38x = 13,706,063,947.15
  5. Step 5: Solve for x
    x = 13,706,063,947.15/133,829.38
  6. Step 6: Final answer
    x = 102,414.46

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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.