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Finding the Fourth Proportional to 176,523.80, 264,899.10 and 97,694.60

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Solution

The fourth proportional to 176,523.80, 264,899.10 and 97,694.60 is: 146,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,523.80 : 264,899.10 = 97,694.60 : x
  2. Step 2: Convert to fraction form
    176,523.80/264,899.10 = 97,694.60/x
  3. Step 3: Cross multiply
    176,523.80x = 264,899.10 × 97,694.60
  4. Step 4: Simplify right side
    176,523.80x = 25,879,211,614.86
  5. Step 5: Solve for x
    x = 25,879,211,614.86/176,523.80
  6. Step 6: Final answer
    x = 146,604.66

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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.