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Finding the Fourth Proportional to 270,228.96, 405,281.48 and 101,766.78

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Solution

The fourth proportional to 270,228.96, 405,281.48 and 101,766.78 is: 152,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,228.96 : 405,281.48 = 101,766.78 : x
  2. Step 2: Convert to fraction form
    270,228.96/405,281.48 = 101,766.78/x
  3. Step 3: Cross multiply
    270,228.96x = 405,281.48 × 101,766.78
  4. Step 4: Simplify right side
    270,228.96x = 41,244,190,704.40
  5. Step 5: Solve for x
    x = 41,244,190,704.40/270,228.96
  6. Step 6: Final answer
    x = 152,626.83

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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.