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Finding the Fourth Proportional to 176,546.04, 264,735.82 and 64,147

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Solution

The fourth proportional to 176,546.04, 264,735.82 and 64,147 is: 96,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,546.04 : 264,735.82 = 64,147 : x
  2. Step 2: Convert to fraction form
    176,546.04/264,735.82 = 64,147/x
  3. Step 3: Cross multiply
    176,546.04x = 264,735.82 × 64,147
  4. Step 4: Simplify right side
    176,546.04x = 16,982,008,645.54
  5. Step 5: Solve for x
    x = 16,982,008,645.54/176,546.04
  6. Step 6: Final answer
    x = 96,190.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.