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Finding the Fourth Proportional to 119,803.73, 179,533.26 and 82,406.03

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Solution

The fourth proportional to 119,803.73, 179,533.26 and 82,406.03 is: 123,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,803.73 : 179,533.26 = 82,406.03 : x
  2. Step 2: Convert to fraction form
    119,803.73/179,533.26 = 82,406.03/x
  3. Step 3: Cross multiply
    119,803.73x = 179,533.26 × 82,406.03
  4. Step 4: Simplify right side
    119,803.73x = 14,794,622,311.89
  5. Step 5: Solve for x
    x = 14,794,622,311.89/119,803.73
  6. Step 6: Final answer
    x = 123,490.50

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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.