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Finding the Fourth Proportional to 264,337.47, 396,899.85 and 106,873.47

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Solution

The fourth proportional to 264,337.47, 396,899.85 and 106,873.47 is: 160,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,337.47 : 396,899.85 = 106,873.47 : x
  2. Step 2: Convert to fraction form
    264,337.47/396,899.85 = 106,873.47/x
  3. Step 3: Cross multiply
    264,337.47x = 396,899.85 × 106,873.47
  4. Step 4: Simplify right side
    264,337.47x = 42,418,064,211.98
  5. Step 5: Solve for x
    x = 42,418,064,211.98/264,337.47
  6. Step 6: Final answer
    x = 160,469.36

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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.