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Finding the Fourth Proportional to 202,958.01, 304,438.31 and 53,197

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Solution

The fourth proportional to 202,958.01, 304,438.31 and 53,197 is: 79,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,958.01 : 304,438.31 = 53,197 : x
  2. Step 2: Convert to fraction form
    202,958.01/304,438.31 = 53,197/x
  3. Step 3: Cross multiply
    202,958.01x = 304,438.31 × 53,197
  4. Step 4: Simplify right side
    202,958.01x = 16,195,204,777.07
  5. Step 5: Solve for x
    x = 16,195,204,777.07/202,958.01
  6. Step 6: Final answer
    x = 79,795.84

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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.