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Finding the Fourth Proportional to 300,134.30, 413,780.02 and 192,517.52

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Solution

The fourth proportional to 300,134.30, 413,780.02 and 192,517.52 is: 265,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,134.30 : 413,780.02 = 192,517.52 : x
  2. Step 2: Convert to fraction form
    300,134.30/413,780.02 = 192,517.52/x
  3. Step 3: Cross multiply
    300,134.30x = 413,780.02 × 192,517.52
  4. Step 4: Simplify right side
    300,134.30x = 79,659,903,275.95
  5. Step 5: Solve for x
    x = 79,659,903,275.95/300,134.30
  6. Step 6: Final answer
    x = 265,414.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.