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Finding the Fourth Proportional to 273,989.25, 411,107.00 and 174,123.54

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Solution

The fourth proportional to 273,989.25, 411,107.00 and 174,123.54 is: 261,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,989.25 : 411,107.00 = 174,123.54 : x
  2. Step 2: Convert to fraction form
    273,989.25/411,107.00 = 174,123.54/x
  3. Step 3: Cross multiply
    273,989.25x = 411,107.00 × 174,123.54
  4. Step 4: Simplify right side
    273,989.25x = 71,583,405,288.16
  5. Step 5: Solve for x
    x = 71,583,405,288.16/273,989.25
  6. Step 6: Final answer
    x = 261,263.55

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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.