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Finding the Fourth Proportional to 224,147.60, 335,926.20 and 164,704.40

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Solution

The fourth proportional to 224,147.60, 335,926.20 and 164,704.40 is: 246,839.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,147.60 : 335,926.20 = 164,704.40 : x
  2. Step 2: Convert to fraction form
    224,147.60/335,926.20 = 164,704.40/x
  3. Step 3: Cross multiply
    224,147.60x = 335,926.20 × 164,704.40
  4. Step 4: Simplify right side
    224,147.60x = 55,328,523,215.28
  5. Step 5: Solve for x
    x = 55,328,523,215.28/224,147.60
  6. Step 6: Final answer
    x = 246,839.69

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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.