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Finding the Fourth Proportional to 422,442.55, 633,665.13 and 106,899.36

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Solution

The fourth proportional to 422,442.55, 633,665.13 and 106,899.36 is: 160,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,442.55 : 633,665.13 = 106,899.36 : x
  2. Step 2: Convert to fraction form
    422,442.55/633,665.13 = 106,899.36/x
  3. Step 3: Cross multiply
    422,442.55x = 633,665.13 × 106,899.36
  4. Step 4: Simplify right side
    422,442.55x = 67,738,396,851.32
  5. Step 5: Solve for x
    x = 67,738,396,851.32/422,442.55
  6. Step 6: Final answer
    x = 160,349.37

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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.