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Finding the Fourth Proportional to 422,282.13, 633,423.20 and 106,739.04

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Solution

The fourth proportional to 422,282.13, 633,423.20 and 106,739.04 is: 160,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,282.13 : 633,423.20 = 106,739.04 : x
  2. Step 2: Convert to fraction form
    422,282.13/633,423.20 = 106,739.04/x
  3. Step 3: Cross multiply
    422,282.13x = 633,423.20 × 106,739.04
  4. Step 4: Simplify right side
    422,282.13x = 67,610,984,281.73
  5. Step 5: Solve for x
    x = 67,610,984,281.73/422,282.13
  6. Step 6: Final answer
    x = 160,108.56

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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.