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Finding the Fourth Proportional to 133,578.75, 184,148.71 and 82,562.64

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Solution

The fourth proportional to 133,578.75, 184,148.71 and 82,562.64 is: 113,819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,578.75 : 184,148.71 = 82,562.64 : x
  2. Step 2: Convert to fraction form
    133,578.75/184,148.71 = 82,562.64/x
  3. Step 3: Cross multiply
    133,578.75x = 184,148.71 × 82,562.64
  4. Step 4: Simplify right side
    133,578.75x = 15,203,803,650.19
  5. Step 5: Solve for x
    x = 15,203,803,650.19/133,578.75
  6. Step 6: Final answer
    x = 113,819.03

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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.