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Finding the Fourth Proportional to 202,942.20, 304,499.70 and 128,119.80

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Solution

The fourth proportional to 202,942.20, 304,499.70 and 128,119.80 is: 192,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,942.20 : 304,499.70 = 128,119.80 : x
  2. Step 2: Convert to fraction form
    202,942.20/304,499.70 = 128,119.80/x
  3. Step 3: Cross multiply
    202,942.20x = 304,499.70 × 128,119.80
  4. Step 4: Simplify right side
    202,942.20x = 39,012,440,664.06
  5. Step 5: Solve for x
    x = 39,012,440,664.06/202,942.20
  6. Step 6: Final answer
    x = 192,234.25

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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.