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Finding the Fourth Proportional to 221,029.02, 305,020.08 and 120,427.02

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Solution

The fourth proportional to 221,029.02, 305,020.08 and 120,427.02 is: 166,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,029.02 : 305,020.08 = 120,427.02 : x
  2. Step 2: Convert to fraction form
    221,029.02/305,020.08 = 120,427.02/x
  3. Step 3: Cross multiply
    221,029.02x = 305,020.08 × 120,427.02
  4. Step 4: Simplify right side
    221,029.02x = 36,732,659,274.56
  5. Step 5: Solve for x
    x = 36,732,659,274.56/221,029.02
  6. Step 6: Final answer
    x = 166,189.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.