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Finding the Fourth Proportional to 362,231.80, 543,428.36 and 119,083.88

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Solution

The fourth proportional to 362,231.80, 543,428.36 and 119,083.88 is: 178,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,231.80 : 543,428.36 = 119,083.88 : x
  2. Step 2: Convert to fraction form
    362,231.80/543,428.36 = 119,083.88/x
  3. Step 3: Cross multiply
    362,231.80x = 543,428.36 × 119,083.88
  4. Step 4: Simplify right side
    362,231.80x = 64,713,557,610.84
  5. Step 5: Solve for x
    x = 64,713,557,610.84/362,231.80
  6. Step 6: Final answer
    x = 178,652.34

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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.