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Finding the Fourth Proportional to 422,281.13, 633,421.70 and 106,738.04

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Solution

The fourth proportional to 422,281.13, 633,421.70 and 106,738.04 is: 160,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,281.13 : 633,421.70 = 106,738.04 : x
  2. Step 2: Convert to fraction form
    422,281.13/633,421.70 = 106,738.04/x
  3. Step 3: Cross multiply
    422,281.13x = 633,421.70 × 106,738.04
  4. Step 4: Simplify right side
    422,281.13x = 67,610,187,050.67
  5. Step 5: Solve for x
    x = 67,610,187,050.67/422,281.13
  6. Step 6: Final answer
    x = 160,107.05

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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.