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Finding the Fourth Proportional to 224,972.67, 310,467.20 and 134,311.70

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Solution

The fourth proportional to 224,972.67, 310,467.20 and 134,311.70 is: 185,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,972.67 : 310,467.20 = 134,311.70 : x
  2. Step 2: Convert to fraction form
    224,972.67/310,467.20 = 134,311.70/x
  3. Step 3: Cross multiply
    224,972.67x = 310,467.20 × 134,311.70
  4. Step 4: Simplify right side
    224,972.67x = 41,699,375,202.35
  5. Step 5: Solve for x
    x = 41,699,375,202.35/224,972.67
  6. Step 6: Final answer
    x = 185,353.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.