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Finding the Fourth Proportional to 274,414.30, 411,384.85 and 106,052.76

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Solution

The fourth proportional to 274,414.30, 411,384.85 and 106,052.76 is: 158,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,414.30 : 411,384.85 = 106,052.76 : x
  2. Step 2: Convert to fraction form
    274,414.30/411,384.85 = 106,052.76/x
  3. Step 3: Cross multiply
    274,414.30x = 411,384.85 × 106,052.76
  4. Step 4: Simplify right side
    274,414.30x = 43,628,498,499.55
  5. Step 5: Solve for x
    x = 43,628,498,499.55/274,414.30
  6. Step 6: Final answer
    x = 158,987.70

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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.