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Finding the Fourth Proportional to 274,398.54, 411,361.28 and 106,037.00

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Solution

The fourth proportional to 274,398.54, 411,361.28 and 106,037.00 is: 158,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,398.54 : 411,361.28 = 106,037.00 : x
  2. Step 2: Convert to fraction form
    274,398.54/411,361.28 = 106,037.00/x
  3. Step 3: Cross multiply
    274,398.54x = 411,361.28 × 106,037.00
  4. Step 4: Simplify right side
    274,398.54x = 43,619,515,997.07
  5. Step 5: Solve for x
    x = 43,619,515,997.07/274,398.54
  6. Step 6: Final answer
    x = 158,964.10

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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.