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Finding the Fourth Proportional to 224,769.60, 337,154.40 and 140,788.80

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Solution

The fourth proportional to 224,769.60, 337,154.40 and 140,788.80 is: 211,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,769.60 : 337,154.40 = 140,788.80 : x
  2. Step 2: Convert to fraction form
    224,769.60/337,154.40 = 140,788.80/x
  3. Step 3: Cross multiply
    224,769.60x = 337,154.40 × 140,788.80
  4. Step 4: Simplify right side
    224,769.60x = 47,467,563,390.72
  5. Step 5: Solve for x
    x = 47,467,563,390.72/224,769.60
  6. Step 6: Final answer
    x = 211,183.20

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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.