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Finding the Fourth Proportional to 176,546.85, 264,736.80 and 64,148.73

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Solution

The fourth proportional to 176,546.85, 264,736.80 and 64,148.73 is: 96,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,546.85 : 264,736.80 = 64,148.73 : x
  2. Step 2: Convert to fraction form
    176,546.85/264,736.80 = 64,148.73/x
  3. Step 3: Cross multiply
    176,546.85x = 264,736.80 × 64,148.73
  4. Step 4: Simplify right side
    176,546.85x = 16,982,529,504.26
  5. Step 5: Solve for x
    x = 16,982,529,504.26/176,546.85
  6. Step 6: Final answer
    x = 96,192.76

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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.