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Finding the Fourth Proportional to 133,358.94, 184,038.41 and 82,406.62

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Solution

The fourth proportional to 133,358.94, 184,038.41 and 82,406.62 is: 113,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,358.94 : 184,038.41 = 82,406.62 : x
  2. Step 2: Convert to fraction form
    133,358.94/184,038.41 = 82,406.62/x
  3. Step 3: Cross multiply
    133,358.94x = 184,038.41 × 82,406.62
  4. Step 4: Simplify right side
    133,358.94x = 15,165,982,446.15
  5. Step 5: Solve for x
    x = 15,165,982,446.15/133,358.94
  6. Step 6: Final answer
    x = 113,723.03

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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.