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Finding the Fourth Proportional to 193,687.99, 290,548.72 and 53,446.61

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Solution

The fourth proportional to 193,687.99, 290,548.72 and 53,446.61 is: 80,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,687.99 : 290,548.72 = 53,446.61 : x
  2. Step 2: Convert to fraction form
    193,687.99/290,548.72 = 53,446.61/x
  3. Step 3: Cross multiply
    193,687.99x = 290,548.72 × 53,446.61
  4. Step 4: Simplify right side
    193,687.99x = 15,528,844,123.84
  5. Step 5: Solve for x
    x = 15,528,844,123.84/193,687.99
  6. Step 6: Final answer
    x = 80,174.53

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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.