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Finding the Fourth Proportional to 133,500, 184,230.54 and 73,884

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Solution

The fourth proportional to 133,500, 184,230.54 and 73,884 is: 101,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,500 : 184,230.54 = 73,884 : x
  2. Step 2: Convert to fraction form
    133,500/184,230.54 = 73,884/x
  3. Step 3: Cross multiply
    133,500x = 184,230.54 × 73,884
  4. Step 4: Simplify right side
    133,500x = 13,611,689,217.36
  5. Step 5: Solve for x
    x = 13,611,689,217.36/133,500
  6. Step 6: Final answer
    x = 101,960.22

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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.