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Finding the Fourth Proportional to 119,201.28, 178,797.84 and 55,986.03

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Solution

The fourth proportional to 119,201.28, 178,797.84 and 55,986.03 is: 83,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,201.28 : 178,797.84 = 55,986.03 : x
  2. Step 2: Convert to fraction form
    119,201.28/178,797.84 = 55,986.03/x
  3. Step 3: Cross multiply
    119,201.28x = 178,797.84 × 55,986.03
  4. Step 4: Simplify right side
    119,201.28x = 10,010,181,234.18
  5. Step 5: Solve for x
    x = 10,010,181,234.18/119,201.28
  6. Step 6: Final answer
    x = 83,977.13

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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.