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Finding the Fourth Proportional to 543,103.40, 814,651.05 and 164,023.40

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Solution

The fourth proportional to 543,103.40, 814,651.05 and 164,023.40 is: 246,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,103.40 : 814,651.05 = 164,023.40 : x
  2. Step 2: Convert to fraction form
    543,103.40/814,651.05 = 164,023.40/x
  3. Step 3: Cross multiply
    543,103.40x = 814,651.05 × 164,023.40
  4. Step 4: Simplify right side
    543,103.40x = 133,621,835,034.57
  5. Step 5: Solve for x
    x = 133,621,835,034.57/543,103.40
  6. Step 6: Final answer
    x = 246,033.88

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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.