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Finding the Fourth Proportional to 204,027.80, 306,041.70 and 181,866.20

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Solution

The fourth proportional to 204,027.80, 306,041.70 and 181,866.20 is: 272,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,027.80 : 306,041.70 = 181,866.20 : x
  2. Step 2: Convert to fraction form
    204,027.80/306,041.70 = 181,866.20/x
  3. Step 3: Cross multiply
    204,027.80x = 306,041.70 × 181,866.20
  4. Step 4: Simplify right side
    204,027.80x = 55,658,641,020.54
  5. Step 5: Solve for x
    x = 55,658,641,020.54/204,027.80
  6. Step 6: Final answer
    x = 272,799.30

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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.