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Finding the Fourth Proportional to 176,469.80, 264,818.10 and 97,640.60

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Solution

The fourth proportional to 176,469.80, 264,818.10 and 97,640.60 is: 146,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,469.80 : 264,818.10 = 97,640.60 : x
  2. Step 2: Convert to fraction form
    176,469.80/264,818.10 = 97,640.60/x
  3. Step 3: Cross multiply
    176,469.80x = 264,818.10 × 97,640.60
  4. Step 4: Simplify right side
    176,469.80x = 25,856,998,174.86
  5. Step 5: Solve for x
    x = 25,856,998,174.86/176,469.80
  6. Step 6: Final answer
    x = 146,523.64

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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.