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Finding the Fourth Proportional to 274,399.04, 411,362.04 and 106,037.50

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Solution

The fourth proportional to 274,399.04, 411,362.04 and 106,037.50 is: 158,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,399.04 : 411,362.04 = 106,037.50 : x
  2. Step 2: Convert to fraction form
    274,399.04/411,362.04 = 106,037.50/x
  3. Step 3: Cross multiply
    274,399.04x = 411,362.04 × 106,037.50
  4. Step 4: Simplify right side
    274,399.04x = 43,619,801,786.31
  5. Step 5: Solve for x
    x = 43,619,801,786.31/274,399.04
  6. Step 6: Final answer
    x = 158,964.85

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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.