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Finding the Fourth Proportional to 133,406.22, 184,102.05 and 72,976.87

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Solution

The fourth proportional to 133,406.22, 184,102.05 and 72,976.87 is: 100,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,406.22 : 184,102.05 = 72,976.87 : x
  2. Step 2: Convert to fraction form
    133,406.22/184,102.05 = 72,976.87/x
  3. Step 3: Cross multiply
    133,406.22x = 184,102.05 × 72,976.87
  4. Step 4: Simplify right side
    133,406.22x = 13,435,191,369.58
  5. Step 5: Solve for x
    x = 13,435,191,369.58/133,406.22
  6. Step 6: Final answer
    x = 100,708.88

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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.