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Finding the Fourth Proportional to 202,794.36, 304,234.38 and 76,431.93

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Solution

The fourth proportional to 202,794.36, 304,234.38 and 76,431.93 is: 114,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,794.36 : 304,234.38 = 76,431.93 : x
  2. Step 2: Convert to fraction form
    202,794.36/304,234.38 = 76,431.93/x
  3. Step 3: Cross multiply
    202,794.36x = 304,234.38 × 76,431.93
  4. Step 4: Simplify right side
    202,794.36x = 23,253,220,835.75
  5. Step 5: Solve for x
    x = 23,253,220,835.75/202,794.36
  6. Step 6: Final answer
    x = 114,664.04

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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.