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Finding the Fourth Proportional to 203,286.60, 304,929.90 and 132,427.80

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Solution

The fourth proportional to 203,286.60, 304,929.90 and 132,427.80 is: 198,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,286.60 : 304,929.90 = 132,427.80 : x
  2. Step 2: Convert to fraction form
    203,286.60/304,929.90 = 132,427.80/x
  3. Step 3: Cross multiply
    203,286.60x = 304,929.90 × 132,427.80
  4. Step 4: Simplify right side
    203,286.60x = 40,381,195,811.22
  5. Step 5: Solve for x
    x = 40,381,195,811.22/203,286.60
  6. Step 6: Final answer
    x = 198,641.70

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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.