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Finding the Fourth Proportional to 228,396.60, 342,902.70 and 133,723.80

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Solution

The fourth proportional to 228,396.60, 342,902.70 and 133,723.80 is: 200,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,396.60 : 342,902.70 = 133,723.80 : x
  2. Step 2: Convert to fraction form
    228,396.60/342,902.70 = 133,723.80/x
  3. Step 3: Cross multiply
    228,396.60x = 342,902.70 × 133,723.80
  4. Step 4: Simplify right side
    228,396.60x = 45,854,252,074.26
  5. Step 5: Solve for x
    x = 45,854,252,074.26/228,396.60
  6. Step 6: Final answer
    x = 200,765.91

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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.