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Finding the Fourth Proportional to 168,694.30, 253,150.80 and 97,616.80

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Solution

The fourth proportional to 168,694.30, 253,150.80 and 97,616.80 is: 146,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,694.30 : 253,150.80 = 97,616.80 : x
  2. Step 2: Convert to fraction form
    168,694.30/253,150.80 = 97,616.80/x
  3. Step 3: Cross multiply
    168,694.30x = 253,150.80 × 97,616.80
  4. Step 4: Simplify right side
    168,694.30x = 24,711,771,013.44
  5. Step 5: Solve for x
    x = 24,711,771,013.44/168,694.30
  6. Step 6: Final answer
    x = 146,488.48

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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.