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Finding the Fourth Proportional to 203,029.60, 303,680.40 and 182,120.80

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Solution

The fourth proportional to 203,029.60, 303,680.40 and 182,120.80 is: 272,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,029.60 : 303,680.40 = 182,120.80 : x
  2. Step 2: Convert to fraction form
    203,029.60/303,680.40 = 182,120.80/x
  3. Step 3: Cross multiply
    203,029.60x = 303,680.40 × 182,120.80
  4. Step 4: Simplify right side
    203,029.60x = 55,306,517,392.32
  5. Step 5: Solve for x
    x = 55,306,517,392.32/203,029.60
  6. Step 6: Final answer
    x = 272,406.18

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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.